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Finding the Fourth Proportional to 485,175.60, 726,726.60 and 402,231.60

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Solution

The fourth proportional to 485,175.60, 726,726.60 and 402,231.60 is: 602,487.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,175.60 : 726,726.60 = 402,231.60 : x
  2. Step 2: Convert to fraction form
    485,175.60/726,726.60 = 402,231.60/x
  3. Step 3: Cross multiply
    485,175.60x = 726,726.60 × 402,231.60
  4. Step 4: Simplify right side
    485,175.60x = 292,312,403,080.56
  5. Step 5: Solve for x
    x = 292,312,403,080.56/485,175.60
  6. Step 6: Final answer
    x = 602,487.85

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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.