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Finding the Fourth Proportional to 485,727.30, 728,652.06 and 260,778.60

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Solution

The fourth proportional to 485,727.30, 728,652.06 and 260,778.60 is: 391,200.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,727.30 : 728,652.06 = 260,778.60 : x
  2. Step 2: Convert to fraction form
    485,727.30/728,652.06 = 260,778.60/x
  3. Step 3: Cross multiply
    485,727.30x = 728,652.06 × 260,778.60
  4. Step 4: Simplify right side
    485,727.30x = 190,016,864,093.92
  5. Step 5: Solve for x
    x = 190,016,864,093.92/485,727.30
  6. Step 6: Final answer
    x = 391,200.71

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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.