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Finding the Fourth Proportional to 598,982.80, 826,590 and 327,049.90

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Solution

The fourth proportional to 598,982.80, 826,590 and 327,049.90 is: 451,325.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,982.80 : 826,590 = 327,049.90 : x
  2. Step 2: Convert to fraction form
    598,982.80/826,590 = 327,049.90/x
  3. Step 3: Cross multiply
    598,982.80x = 826,590 × 327,049.90
  4. Step 4: Simplify right side
    598,982.80x = 270,336,176,841.00
  5. Step 5: Solve for x
    x = 270,336,176,841.00/598,982.80
  6. Step 6: Final answer
    x = 451,325.44

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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.