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Finding the Fourth Proportional to 599,123.16, 827,691.86 and 392,882.23

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Solution

The fourth proportional to 599,123.16, 827,691.86 and 392,882.23 is: 542,768.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,123.16 : 827,691.86 = 392,882.23 : x
  2. Step 2: Convert to fraction form
    599,123.16/827,691.86 = 392,882.23/x
  3. Step 3: Cross multiply
    599,123.16x = 827,691.86 × 392,882.23
  4. Step 4: Simplify right side
    599,123.16x = 325,185,423,709.65
  5. Step 5: Solve for x
    x = 325,185,423,709.65/599,123.16
  6. Step 6: Final answer
    x = 542,768.91

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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.