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Finding the Fourth Proportional to 417,067.58, 625,469.25 and 150,792.86

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Solution

The fourth proportional to 417,067.58, 625,469.25 and 150,792.86 is: 226,141.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,067.58 : 625,469.25 = 150,792.86 : x
  2. Step 2: Convert to fraction form
    417,067.58/625,469.25 = 150,792.86/x
  3. Step 3: Cross multiply
    417,067.58x = 625,469.25 × 150,792.86
  4. Step 4: Simplify right side
    417,067.58x = 94,316,297,049.56
  5. Step 5: Solve for x
    x = 94,316,297,049.56/417,067.58
  6. Step 6: Final answer
    x = 226,141.52

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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.