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Finding the Fourth Proportional to 417,200.86, 625,430.10 and 150,902.14

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Solution

The fourth proportional to 417,200.86, 625,430.10 and 150,902.14 is: 226,218.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,200.86 : 625,430.10 = 150,902.14 : x
  2. Step 2: Convert to fraction form
    417,200.86/625,430.10 = 150,902.14/x
  3. Step 3: Cross multiply
    417,200.86x = 625,430.10 × 150,902.14
  4. Step 4: Simplify right side
    417,200.86x = 94,378,740,510.41
  5. Step 5: Solve for x
    x = 94,378,740,510.41/417,200.86
  6. Step 6: Final answer
    x = 226,218.95

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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.