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Finding the Fourth Proportional to 599,306.38, 827,029.19 and 327,375.47

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Solution

The fourth proportional to 599,306.38, 827,029.19 and 327,375.47 is: 451,770.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,306.38 : 827,029.19 = 327,375.47 : x
  2. Step 2: Convert to fraction form
    599,306.38/827,029.19 = 327,375.47/x
  3. Step 3: Cross multiply
    599,306.38x = 827,029.19 × 327,375.47
  4. Step 4: Simplify right side
    599,306.38x = 270,749,072,665.98
  5. Step 5: Solve for x
    x = 270,749,072,665.98/599,306.38
  6. Step 6: Final answer
    x = 451,770.72

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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.