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Finding the Fourth Proportional to 310,834.38, 466,251.56 and 100,472.31

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Solution

The fourth proportional to 310,834.38, 466,251.56 and 100,472.31 is: 150,708.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,834.38 : 466,251.56 = 100,472.31 : x
  2. Step 2: Convert to fraction form
    310,834.38/466,251.56 = 100,472.31/x
  3. Step 3: Cross multiply
    310,834.38x = 466,251.56 × 100,472.31
  4. Step 4: Simplify right side
    310,834.38x = 46,845,372,691.11
  5. Step 5: Solve for x
    x = 46,845,372,691.11/310,834.38
  6. Step 6: Final answer
    x = 150,708.47

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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.