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Finding the Fourth Proportional to 432,843.90, 649,265.86 and 117,300.80

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Solution

The fourth proportional to 432,843.90, 649,265.86 and 117,300.80 is: 175,951.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,843.90 : 649,265.86 = 117,300.80 : x
  2. Step 2: Convert to fraction form
    432,843.90/649,265.86 = 117,300.80/x
  3. Step 3: Cross multiply
    432,843.90x = 649,265.86 × 117,300.80
  4. Step 4: Simplify right side
    432,843.90x = 76,159,406,560.48
  5. Step 5: Solve for x
    x = 76,159,406,560.48/432,843.90
  6. Step 6: Final answer
    x = 175,951.21

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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.