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Finding the Fourth Proportional to 416,778.52, 625,167.78 and 101,233.30

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Solution

The fourth proportional to 416,778.52, 625,167.78 and 101,233.30 is: 151,849.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,778.52 : 625,167.78 = 101,233.30 : x
  2. Step 2: Convert to fraction form
    416,778.52/625,167.78 = 101,233.30/x
  3. Step 3: Cross multiply
    416,778.52x = 625,167.78 × 101,233.30
  4. Step 4: Simplify right side
    416,778.52x = 63,287,797,423.07
  5. Step 5: Solve for x
    x = 63,287,797,423.07/416,778.52
  6. Step 6: Final answer
    x = 151,849.95

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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.