To find which country had the highest casualty rate in relation to their total forces, we need to calculate the casualty rate for each country. The casualty rate can be calculated using the formula:
[tex]\[ \text{Casualty Rate} = \frac{\text{Total Casualties}}{\text{Total Forces}} \][/tex]
### Step-by-Step Calculation:
1. Germany:
[tex]\[ \text{Total Forces} = 11,000,000 \][/tex]
[tex]\[ \text{Total Casualties} = 7,142,558 \][/tex]
[tex]\[ \text{Casualty Rate} = \frac{7,142,558}{11,000,000} \approx 0.6493 \][/tex]
2. Austria-Hungary:
[tex]\[ \text{Total Forces} = 7,800,888 \][/tex]
[tex]\[ \text{Total Casualties} = 7,020,000 \][/tex]
[tex]\[ \text{Casualty Rate} = \frac{7,020,000}{7,800,888} \approx 0.8999 \][/tex]
3. Ottoman Empire:
[tex]\[ \text{Total Forces} = 2,850,000 \][/tex]
[tex]\[ \text{Total Casualties} = 975,000 \][/tex]
[tex]\[ \text{Casualty Rate} = \frac{975,000}{2,850,000} \approx 0.3421 \][/tex]
Now, comparing these casualty rates:
- Germany: 0.6493 (or 64.93%)
- Austria-Hungary: 0.8999 (or 89.99%)
- Ottoman Empire: 0.3421 (or 34.21%)
### Conclusion:
Among the given countries, Austria-Hungary had the highest casualty rate in relation to their total forces, with a rate of approximately 89.99%.
The answer is:
Austria-Hungary
