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Finding the Fourth Proportional to 392,896.98, 542,215.62 and 231,758.82

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Solution

The fourth proportional to 392,896.98, 542,215.62 and 231,758.82 is: 319,837.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,896.98 : 542,215.62 = 231,758.82 : x
  2. Step 2: Convert to fraction form
    392,896.98/542,215.62 = 231,758.82/x
  3. Step 3: Cross multiply
    392,896.98x = 542,215.62 × 231,758.82
  4. Step 4: Simplify right side
    392,896.98x = 125,663,252,276.77
  5. Step 5: Solve for x
    x = 125,663,252,276.77/392,896.98
  6. Step 6: Final answer
    x = 319,837.66

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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.