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Finding the Fourth Proportional to 485,410.20, 728,115.30 and 272,833.80

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Solution

The fourth proportional to 485,410.20, 728,115.30 and 272,833.80 is: 409,250.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,410.20 : 728,115.30 = 272,833.80 : x
  2. Step 2: Convert to fraction form
    485,410.20/728,115.30 = 272,833.80/x
  3. Step 3: Cross multiply
    485,410.20x = 728,115.30 × 272,833.80
  4. Step 4: Simplify right side
    485,410.20x = 198,654,464,137.14
  5. Step 5: Solve for x
    x = 198,654,464,137.14/485,410.20
  6. Step 6: Final answer
    x = 409,250.70

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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.