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Finding the Fourth Proportional to 417,230.96, 625,895.32 and 132,821.88

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Solution

The fourth proportional to 417,230.96, 625,895.32 and 132,821.88 is: 199,248.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,230.96 : 625,895.32 = 132,821.88 : x
  2. Step 2: Convert to fraction form
    417,230.96/625,895.32 = 132,821.88/x
  3. Step 3: Cross multiply
    417,230.96x = 625,895.32 × 132,821.88
  4. Step 4: Simplify right side
    417,230.96x = 83,132,593,085.60
  5. Step 5: Solve for x
    x = 83,132,593,085.60/417,230.96
  6. Step 6: Final answer
    x = 199,248.38

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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.