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Finding the Fourth Proportional to 392,757.78, 542,009.34 and 222,995.52

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Solution

The fourth proportional to 392,757.78, 542,009.34 and 222,995.52 is: 307,735.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,757.78 : 542,009.34 = 222,995.52 : x
  2. Step 2: Convert to fraction form
    392,757.78/542,009.34 = 222,995.52/x
  3. Step 3: Cross multiply
    392,757.78x = 542,009.34 × 222,995.52
  4. Step 4: Simplify right side
    392,757.78x = 120,865,654,618.16
  5. Step 5: Solve for x
    x = 120,865,654,618.16/392,757.78
  6. Step 6: Final answer
    x = 307,735.86

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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.