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Finding the Fourth Proportional to 398,932.68, 550,472.52 and 229,166.76

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Solution

The fourth proportional to 398,932.68, 550,472.52 and 229,166.76 is: 316,218.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,932.68 : 550,472.52 = 229,166.76 : x
  2. Step 2: Convert to fraction form
    398,932.68/550,472.52 = 229,166.76/x
  3. Step 3: Cross multiply
    398,932.68x = 550,472.52 × 229,166.76
  4. Step 4: Simplify right side
    398,932.68x = 126,150,003,877.44
  5. Step 5: Solve for x
    x = 126,150,003,877.44/398,932.68
  6. Step 6: Final answer
    x = 316,218.78

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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.