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Finding the Fourth Proportional to 432,691.80, 648,843.30 and 166,363.80

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Solution

The fourth proportional to 432,691.80, 648,843.30 and 166,363.80 is: 249,470.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,691.80 : 648,843.30 = 166,363.80 : x
  2. Step 2: Convert to fraction form
    432,691.80/648,843.30 = 166,363.80/x
  3. Step 3: Cross multiply
    432,691.80x = 648,843.30 × 166,363.80
  4. Step 4: Simplify right side
    432,691.80x = 107,944,036,992.54
  5. Step 5: Solve for x
    x = 107,944,036,992.54/432,691.80
  6. Step 6: Final answer
    x = 249,470.96

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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.