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Finding the Fourth Proportional to 288,757.17, 398,478.29 and 161,444.61

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Solution

The fourth proportional to 288,757.17, 398,478.29 and 161,444.61 is: 222,789.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,757.17 : 398,478.29 = 161,444.61 : x
  2. Step 2: Convert to fraction form
    288,757.17/398,478.29 = 161,444.61/x
  3. Step 3: Cross multiply
    288,757.17x = 398,478.29 × 161,444.61
  4. Step 4: Simplify right side
    288,757.17x = 64,332,171,315.29
  5. Step 5: Solve for x
    x = 64,332,171,315.29/288,757.17
  6. Step 6: Final answer
    x = 222,789.87

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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.