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Finding the Fourth Proportional to 475,132.52, 712,673.82 and 159,595.88

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Solution

The fourth proportional to 475,132.52, 712,673.82 and 159,595.88 is: 239,385.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,132.52 : 712,673.82 = 159,595.88 : x
  2. Step 2: Convert to fraction form
    475,132.52/712,673.82 = 159,595.88/x
  3. Step 3: Cross multiply
    475,132.52x = 712,673.82 × 159,595.88
  4. Step 4: Simplify right side
    475,132.52x = 113,739,805,455.86
  5. Step 5: Solve for x
    x = 113,739,805,455.86/475,132.52
  6. Step 6: Final answer
    x = 239,385.44

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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.