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Finding the Fourth Proportional to 398,824.84, 550,379.98 and 217,540.66

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Solution

The fourth proportional to 398,824.84, 550,379.98 and 217,540.66 is: 300,207.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,824.84 : 550,379.98 = 217,540.66 : x
  2. Step 2: Convert to fraction form
    398,824.84/550,379.98 = 217,540.66/x
  3. Step 3: Cross multiply
    398,824.84x = 550,379.98 × 217,540.66
  4. Step 4: Simplify right side
    398,824.84x = 119,730,024,099.99
  5. Step 5: Solve for x
    x = 119,730,024,099.99/398,824.84
  6. Step 6: Final answer
    x = 300,207.04

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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.