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Finding the Fourth Proportional to 485,147.60, 727,721.40 and 275,195.60

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Solution

The fourth proportional to 485,147.60, 727,721.40 and 275,195.60 is: 412,793.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,147.60 : 727,721.40 = 275,195.60 : x
  2. Step 2: Convert to fraction form
    485,147.60/727,721.40 = 275,195.60/x
  3. Step 3: Cross multiply
    485,147.60x = 727,721.40 × 275,195.60
  4. Step 4: Simplify right side
    485,147.60x = 200,265,727,305.84
  5. Step 5: Solve for x
    x = 200,265,727,305.84/485,147.60
  6. Step 6: Final answer
    x = 412,793.40

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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.