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Finding the Fourth Proportional to 415,839.21, 573,834.31 and 234,540.32

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Solution

The fourth proportional to 415,839.21, 573,834.31 and 234,540.32 is: 323,652.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,839.21 : 573,834.31 = 234,540.32 : x
  2. Step 2: Convert to fraction form
    415,839.21/573,834.31 = 234,540.32/x
  3. Step 3: Cross multiply
    415,839.21x = 573,834.31 × 234,540.32
  4. Step 4: Simplify right side
    415,839.21x = 134,587,282,694.38
  5. Step 5: Solve for x
    x = 134,587,282,694.38/415,839.21
  6. Step 6: Final answer
    x = 323,652.22

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Why These Related Problems?

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