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Finding the Fourth Proportional to 399,042.20, 550,689.96 and 217,765.83

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Solution

The fourth proportional to 399,042.20, 550,689.96 and 217,765.83 is: 300,523.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,042.20 : 550,689.96 = 217,765.83 : x
  2. Step 2: Convert to fraction form
    399,042.20/550,689.96 = 217,765.83/x
  3. Step 3: Cross multiply
    399,042.20x = 550,689.96 × 217,765.83
  4. Step 4: Simplify right side
    399,042.20x = 119,921,457,256.38
  5. Step 5: Solve for x
    x = 119,921,457,256.38/399,042.20
  6. Step 6: Final answer
    x = 300,523.24

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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.