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Finding the Fourth Proportional to 416,957.56, 625,436.34 and 101,414.68

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Solution

The fourth proportional to 416,957.56, 625,436.34 and 101,414.68 is: 152,122.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,957.56 : 625,436.34 = 101,414.68 : x
  2. Step 2: Convert to fraction form
    416,957.56/625,436.34 = 101,414.68/x
  3. Step 3: Cross multiply
    416,957.56x = 625,436.34 × 101,414.68
  4. Step 4: Simplify right side
    416,957.56x = 63,428,426,281.47
  5. Step 5: Solve for x
    x = 63,428,426,281.47/416,957.56
  6. Step 6: Final answer
    x = 152,122.02

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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.