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Finding the Fourth Proportional to 599,531.76, 827,377.92 and 344,882.88

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Solution

The fourth proportional to 599,531.76, 827,377.92 and 344,882.88 is: 475,952.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,531.76 : 827,377.92 = 344,882.88 : x
  2. Step 2: Convert to fraction form
    599,531.76/827,377.92 = 344,882.88/x
  3. Step 3: Cross multiply
    599,531.76x = 827,377.92 × 344,882.88
  4. Step 4: Simplify right side
    599,531.76x = 285,348,479,898.01
  5. Step 5: Solve for x
    x = 285,348,479,898.01/599,531.76
  6. Step 6: Final answer
    x = 475,952.23

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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.