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Finding the Fourth Proportional to 317,671.32, 476,367.06 and 149,239.52

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Solution

The fourth proportional to 317,671.32, 476,367.06 and 149,239.52 is: 223,793.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,671.32 : 476,367.06 = 149,239.52 : x
  2. Step 2: Convert to fraction form
    317,671.32/476,367.06 = 149,239.52/x
  3. Step 3: Cross multiply
    317,671.32x = 476,367.06 × 149,239.52
  4. Step 4: Simplify right side
    317,671.32x = 71,092,788,996.38
  5. Step 5: Solve for x
    x = 71,092,788,996.38/317,671.32
  6. Step 6: Final answer
    x = 223,793.54

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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.