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Finding the Fourth Proportional to 317,734.38, 476,599.96 and 149,253.82

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Solution

The fourth proportional to 317,734.38, 476,599.96 and 149,253.82 is: 223,879.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,734.38 : 476,599.96 = 149,253.82 : x
  2. Step 2: Convert to fraction form
    317,734.38/476,599.96 = 149,253.82/x
  3. Step 3: Cross multiply
    317,734.38x = 476,599.96 × 149,253.82
  4. Step 4: Simplify right side
    317,734.38x = 71,134,364,641.85
  5. Step 5: Solve for x
    x = 71,134,364,641.85/317,734.38
  6. Step 6: Final answer
    x = 223,879.97

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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.