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Finding the Fourth Proportional to 299,361.66, 413,119.10 and 204,034.88

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Solution

The fourth proportional to 299,361.66, 413,119.10 and 204,034.88 is: 281,568.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,361.66 : 413,119.10 = 204,034.88 : x
  2. Step 2: Convert to fraction form
    299,361.66/413,119.10 = 204,034.88/x
  3. Step 3: Cross multiply
    299,361.66x = 413,119.10 × 204,034.88
  4. Step 4: Simplify right side
    299,361.66x = 84,290,707,537.09
  5. Step 5: Solve for x
    x = 84,290,707,537.09/299,361.66
  6. Step 6: Final answer
    x = 281,568.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.