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228/3 = 76

76 x 4 = 304

304 + 228 = 532

There are 532 workers

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Answer:

532 of both genders.

Step-by-step explanation:

The ratio of men to women is 3:4

The ratio of men to men and women is 3/(3 + 4) = 3 / 7

So the proportion looks like this

3 /7 =228 / x  

The left hand side is men to everyone. The right hand side is the actual number of men to the total number of everyone.

Cross multiply

3*x = 7 * 228       Multiply the right side

3*x = 1596           Divide by 3

3x/3 =1598/3       Combine

x = 532                 Total of both men and women