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Finding the Fourth Proportional to 315,046.30, 472,446.60 and 137,432.20

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Solution

The fourth proportional to 315,046.30, 472,446.60 and 137,432.20 is: 206,094.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,046.30 : 472,446.60 = 137,432.20 : x
  2. Step 2: Convert to fraction form
    315,046.30/472,446.60 = 137,432.20/x
  3. Step 3: Cross multiply
    315,046.30x = 472,446.60 × 137,432.20
  4. Step 4: Simplify right side
    315,046.30x = 64,929,375,620.52
  5. Step 5: Solve for x
    x = 64,929,375,620.52/315,046.30
  6. Step 6: Final answer
    x = 206,094.71

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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.