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Finding the Fourth Proportional to 486,127.71, 728,141.81 and 474,230.43

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Solution

The fourth proportional to 486,127.71, 728,141.81 and 474,230.43 is: 710,321.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,127.71 : 728,141.81 = 474,230.43 : x
  2. Step 2: Convert to fraction form
    486,127.71/728,141.81 = 474,230.43/x
  3. Step 3: Cross multiply
    486,127.71x = 728,141.81 × 474,230.43
  4. Step 4: Simplify right side
    486,127.71x = 345,307,001,286.13
  5. Step 5: Solve for x
    x = 345,307,001,286.13/486,127.71
  6. Step 6: Final answer
    x = 710,321.58

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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.