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Finding the Fourth Proportional to 417,198.86, 625,427.10 and 150,900.14

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Solution

The fourth proportional to 417,198.86, 625,427.10 and 150,900.14 is: 226,215.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,198.86 : 625,427.10 = 150,900.14 : x
  2. Step 2: Convert to fraction form
    417,198.86/625,427.10 = 150,900.14/x
  3. Step 3: Cross multiply
    417,198.86x = 625,427.10 × 150,900.14
  4. Step 4: Simplify right side
    417,198.86x = 94,377,036,949.79
  5. Step 5: Solve for x
    x = 94,377,036,949.79/417,198.86
  6. Step 6: Final answer
    x = 226,215.95

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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.