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Finding the Fourth Proportional to 416,801.78, 625,197.20 and 101,257.77

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Solution

The fourth proportional to 416,801.78, 625,197.20 and 101,257.77 is: 151,885.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,801.78 : 625,197.20 = 101,257.77 : x
  2. Step 2: Convert to fraction form
    416,801.78/625,197.20 = 101,257.77/x
  3. Step 3: Cross multiply
    416,801.78x = 625,197.20 × 101,257.77
  4. Step 4: Simplify right side
    416,801.78x = 63,306,073,775.96
  5. Step 5: Solve for x
    x = 63,306,073,775.96/416,801.78
  6. Step 6: Final answer
    x = 151,885.33

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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.