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Finding the Fourth Proportional to 485,327.40, 727,772.40 and 185,708.40

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Solution

The fourth proportional to 485,327.40, 727,772.40 and 185,708.40 is: 278,478.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,327.40 : 727,772.40 = 185,708.40 : x
  2. Step 2: Convert to fraction form
    485,327.40/727,772.40 = 185,708.40/x
  3. Step 3: Cross multiply
    485,327.40x = 727,772.40 × 185,708.40
  4. Step 4: Simplify right side
    485,327.40x = 135,153,447,968.16
  5. Step 5: Solve for x
    x = 135,153,447,968.16/485,327.40
  6. Step 6: Final answer
    x = 278,478.92

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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.