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Finding the Fourth Proportional to 399,753.47, 551,757.75 and 227,772.83

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Solution

The fourth proportional to 399,753.47, 551,757.75 and 227,772.83 is: 314,382.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,753.47 : 551,757.75 = 227,772.83 : x
  2. Step 2: Convert to fraction form
    399,753.47/551,757.75 = 227,772.83/x
  3. Step 3: Cross multiply
    399,753.47x = 551,757.75 × 227,772.83
  4. Step 4: Simplify right side
    399,753.47x = 125,675,424,191.93
  5. Step 5: Solve for x
    x = 125,675,424,191.93/399,753.47
  6. Step 6: Final answer
    x = 314,382.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.