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Finding the Fourth Proportional to 417,182.86, 625,403.13 and 150,884.14

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Solution

The fourth proportional to 417,182.86, 625,403.13 and 150,884.14 is: 226,191.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,182.86 : 625,403.13 = 150,884.14 : x
  2. Step 2: Convert to fraction form
    417,182.86/625,403.13 = 150,884.14/x
  3. Step 3: Cross multiply
    417,182.86x = 625,403.13 × 150,884.14
  4. Step 4: Simplify right side
    417,182.86x = 94,363,413,423.36
  5. Step 5: Solve for x
    x = 94,363,413,423.36/417,182.86
  6. Step 6: Final answer
    x = 226,191.97

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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.