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Finding the Fourth Proportional to 317,711.52, 476,427.33 and 149,279.76

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Solution

The fourth proportional to 317,711.52, 476,427.33 and 149,279.76 is: 223,853.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,711.52 : 476,427.33 = 149,279.76 : x
  2. Step 2: Convert to fraction form
    317,711.52/476,427.33 = 149,279.76/x
  3. Step 3: Cross multiply
    317,711.52x = 476,427.33 × 149,279.76
  4. Step 4: Simplify right side
    317,711.52x = 71,120,957,479.84
  5. Step 5: Solve for x
    x = 71,120,957,479.84/317,711.52
  6. Step 6: Final answer
    x = 223,853.88

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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.