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Finding the Fourth Proportional to 417,892.25, 576,691.31 and 239,044.25

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Solution

The fourth proportional to 417,892.25, 576,691.31 and 239,044.25 is: 329,881.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,892.25 : 576,691.31 = 239,044.25 : x
  2. Step 2: Convert to fraction form
    417,892.25/576,691.31 = 239,044.25/x
  3. Step 3: Cross multiply
    417,892.25x = 576,691.31 × 239,044.25
  4. Step 4: Simplify right side
    417,892.25x = 137,854,741,680.47
  5. Step 5: Solve for x
    x = 137,854,741,680.47/417,892.25
  6. Step 6: Final answer
    x = 329,881.07

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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.