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Finding the Fourth Proportional to 361,470.17, 542,354.13 and 158,962.17

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Solution

The fourth proportional to 361,470.17, 542,354.13 and 158,962.17 is: 238,508.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,470.17 : 542,354.13 = 158,962.17 : x
  2. Step 2: Convert to fraction form
    361,470.17/542,354.13 = 158,962.17/x
  3. Step 3: Cross multiply
    361,470.17x = 542,354.13 × 158,962.17
  4. Step 4: Simplify right side
    361,470.17x = 86,213,785,906.68
  5. Step 5: Solve for x
    x = 86,213,785,906.68/361,470.17
  6. Step 6: Final answer
    x = 238,508.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.