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Finding the Fourth Proportional to 416,867.52, 625,235.94 and 132,520.80

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Solution

The fourth proportional to 416,867.52, 625,235.94 and 132,520.80 is: 198,760.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,867.52 : 625,235.94 = 132,520.80 : x
  2. Step 2: Convert to fraction form
    416,867.52/625,235.94 = 132,520.80/x
  3. Step 3: Cross multiply
    416,867.52x = 625,235.94 × 132,520.80
  4. Step 4: Simplify right side
    416,867.52x = 82,856,766,957.55
  5. Step 5: Solve for x
    x = 82,856,766,957.55/416,867.52
  6. Step 6: Final answer
    x = 198,760.43

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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.