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Finding the Fourth Proportional to 417,211.05, 625,609.52 and 132,864.54

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Solution

The fourth proportional to 417,211.05, 625,609.52 and 132,864.54 is: 199,230.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,211.05 : 625,609.52 = 132,864.54 : x
  2. Step 2: Convert to fraction form
    417,211.05/625,609.52 = 132,864.54/x
  3. Step 3: Cross multiply
    417,211.05x = 625,609.52 × 132,864.54
  4. Step 4: Simplify right side
    417,211.05x = 83,121,320,430.10
  5. Step 5: Solve for x
    x = 83,121,320,430.10/417,211.05
  6. Step 6: Final answer
    x = 199,230.87

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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.