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Finding the Fourth Proportional to 485,462.54, 727,723.60 and 185,712.32

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Solution

The fourth proportional to 485,462.54, 727,723.60 and 185,712.32 is: 278,388.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,462.54 : 727,723.60 = 185,712.32 : x
  2. Step 2: Convert to fraction form
    485,462.54/727,723.60 = 185,712.32/x
  3. Step 3: Cross multiply
    485,462.54x = 727,723.60 × 185,712.32
  4. Step 4: Simplify right side
    485,462.54x = 135,147,238,074.75
  5. Step 5: Solve for x
    x = 135,147,238,074.75/485,462.54
  6. Step 6: Final answer
    x = 278,388.60

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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.