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Finding the Fourth Proportional to 598,982.32, 826,589.36 and 327,049.36

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Solution

The fourth proportional to 598,982.32, 826,589.36 and 327,049.36 is: 451,324.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,982.32 : 826,589.36 = 327,049.36 : x
  2. Step 2: Convert to fraction form
    598,982.32/826,589.36 = 327,049.36/x
  3. Step 3: Cross multiply
    598,982.32x = 826,589.36 × 327,049.36
  4. Step 4: Simplify right side
    598,982.32x = 270,335,521,170.81
  5. Step 5: Solve for x
    x = 270,335,521,170.81/598,982.32
  6. Step 6: Final answer
    x = 451,324.71

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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.