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Finding the Fourth Proportional to 417,229.98, 625,893.84 and 132,820.89

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Solution

The fourth proportional to 417,229.98, 625,893.84 and 132,820.89 is: 199,246.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,229.98 : 625,893.84 = 132,820.89 : x
  2. Step 2: Convert to fraction form
    417,229.98/625,893.84 = 132,820.89/x
  3. Step 3: Cross multiply
    417,229.98x = 625,893.84 × 132,820.89
  4. Step 4: Simplify right side
    417,229.98x = 83,131,776,874.32
  5. Step 5: Solve for x
    x = 83,131,776,874.32/417,229.98
  6. Step 6: Final answer
    x = 199,246.89

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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.