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Finding the Fourth Proportional to 399,557.68, 551,406.38 and 229,791.96

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Solution

The fourth proportional to 399,557.68, 551,406.38 and 229,791.96 is: 317,122.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,557.68 : 551,406.38 = 229,791.96 : x
  2. Step 2: Convert to fraction form
    399,557.68/551,406.38 = 229,791.96/x
  3. Step 3: Cross multiply
    399,557.68x = 551,406.38 × 229,791.96
  4. Step 4: Simplify right side
    399,557.68x = 126,708,752,816.71
  5. Step 5: Solve for x
    x = 126,708,752,816.71/399,557.68
  6. Step 6: Final answer
    x = 317,122.56

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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.