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Finding the Fourth Proportional to 417,082.29, 625,710.92 and 180,458.61

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Solution

The fourth proportional to 417,082.29, 625,710.92 and 180,458.61 is: 270,725.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,082.29 : 625,710.92 = 180,458.61 : x
  2. Step 2: Convert to fraction form
    417,082.29/625,710.92 = 180,458.61/x
  3. Step 3: Cross multiply
    417,082.29x = 625,710.92 × 180,458.61
  4. Step 4: Simplify right side
    417,082.29x = 112,914,921,982.73
  5. Step 5: Solve for x
    x = 112,914,921,982.73/417,082.29
  6. Step 6: Final answer
    x = 270,725.76

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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.