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Finding the Fourth Proportional to 417,173.31, 625,388.84 and 150,874.61

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Solution

The fourth proportional to 417,173.31, 625,388.84 and 150,874.61 is: 226,177.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,173.31 : 625,388.84 = 150,874.61 : x
  2. Step 2: Convert to fraction form
    417,173.31/625,388.84 = 150,874.61/x
  3. Step 3: Cross multiply
    417,173.31x = 625,388.84 × 150,874.61
  4. Step 4: Simplify right side
    417,173.31x = 94,355,293,452.04
  5. Step 5: Solve for x
    x = 94,355,293,452.04/417,173.31
  6. Step 6: Final answer
    x = 226,177.68

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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.