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Finding the Fourth Proportional to 485,591.80, 727,610.10 and 307,780.60

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Solution

The fourth proportional to 485,591.80, 727,610.10 and 307,780.60 is: 461,178.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,591.80 : 727,610.10 = 307,780.60 : x
  2. Step 2: Convert to fraction form
    485,591.80/727,610.10 = 307,780.60/x
  3. Step 3: Cross multiply
    485,591.80x = 727,610.10 × 307,780.60
  4. Step 4: Simplify right side
    485,591.80x = 223,944,273,144.06
  5. Step 5: Solve for x
    x = 223,944,273,144.06/485,591.80
  6. Step 6: Final answer
    x = 461,178.04

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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.