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Finding the Fourth Proportional to 392,738.36, 541,945.65 and 220,642.82

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Solution

The fourth proportional to 392,738.36, 541,945.65 and 220,642.82 is: 304,468.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,738.36 : 541,945.65 = 220,642.82 : x
  2. Step 2: Convert to fraction form
    392,738.36/541,945.65 = 220,642.82/x
  3. Step 3: Cross multiply
    392,738.36x = 541,945.65 × 220,642.82
  4. Step 4: Simplify right side
    392,738.36x = 119,576,416,502.73
  5. Step 5: Solve for x
    x = 119,576,416,502.73/392,738.36
  6. Step 6: Final answer
    x = 304,468.39

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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.