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Finding the Fourth Proportional to 398,732.27, 550,263.71 and 217,459.13

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Solution

The fourth proportional to 398,732.27, 550,263.71 and 217,459.13 is: 300,100.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,732.27 : 550,263.71 = 217,459.13 : x
  2. Step 2: Convert to fraction form
    398,732.27/550,263.71 = 217,459.13/x
  3. Step 3: Cross multiply
    398,732.27x = 550,263.71 × 217,459.13
  4. Step 4: Simplify right side
    398,732.27x = 119,659,865,439.50
  5. Step 5: Solve for x
    x = 119,659,865,439.50/398,732.27
  6. Step 6: Final answer
    x = 300,100.78

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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.