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Finding the Fourth Proportional to 462,397.92, 693,990.56 and 182,112

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Solution

The fourth proportional to 462,397.92, 693,990.56 and 182,112 is: 273,323.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,397.92 : 693,990.56 = 182,112 : x
  2. Step 2: Convert to fraction form
    462,397.92/693,990.56 = 182,112/x
  3. Step 3: Cross multiply
    462,397.92x = 693,990.56 × 182,112
  4. Step 4: Simplify right side
    462,397.92x = 126,384,007,952.16
  5. Step 5: Solve for x
    x = 126,384,007,952.16/462,397.92
  6. Step 6: Final answer
    x = 273,323.05

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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.