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Finding the Fourth Proportional to 432,277.52, 648,414.36 and 116,766.80

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Solution

The fourth proportional to 432,277.52, 648,414.36 and 116,766.80 is: 175,149.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,277.52 : 648,414.36 = 116,766.80 : x
  2. Step 2: Convert to fraction form
    432,277.52/648,414.36 = 116,766.80/x
  3. Step 3: Cross multiply
    432,277.52x = 648,414.36 × 116,766.80
  4. Step 4: Simplify right side
    432,277.52x = 75,713,269,891.25
  5. Step 5: Solve for x
    x = 75,713,269,891.25/432,277.52
  6. Step 6: Final answer
    x = 175,149.68

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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.