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Finding the Fourth Proportional to 417,121.47, 625,773.33 and 150,854.22

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Solution

The fourth proportional to 417,121.47, 625,773.33 and 150,854.22 is: 226,314.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,121.47 : 625,773.33 = 150,854.22 : x
  2. Step 2: Convert to fraction form
    417,121.47/625,773.33 = 150,854.22/x
  3. Step 3: Cross multiply
    417,121.47x = 625,773.33 × 150,854.22
  4. Step 4: Simplify right side
    417,121.47x = 94,400,547,593.95
  5. Step 5: Solve for x
    x = 94,400,547,593.95/417,121.47
  6. Step 6: Final answer
    x = 226,314.29

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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.