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Finding the Fourth Proportional to 392,204.52, 588,229.32 and 107,821.71

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Solution

The fourth proportional to 392,204.52, 588,229.32 and 107,821.71 is: 161,711.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,204.52 : 588,229.32 = 107,821.71 : x
  2. Step 2: Convert to fraction form
    392,204.52/588,229.32 = 107,821.71/x
  3. Step 3: Cross multiply
    392,204.52x = 588,229.32 × 107,821.71
  4. Step 4: Simplify right side
    392,204.52x = 63,423,891,154.54
  5. Step 5: Solve for x
    x = 63,423,891,154.54/392,204.52
  6. Step 6: Final answer
    x = 161,711.27

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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.