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Finding the Fourth Proportional to 392,357.54, 541,471.21 and 231,219.38

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Solution

The fourth proportional to 392,357.54, 541,471.21 and 231,219.38 is: 319,093.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,357.54 : 541,471.21 = 231,219.38 : x
  2. Step 2: Convert to fraction form
    392,357.54/541,471.21 = 231,219.38/x
  3. Step 3: Cross multiply
    392,357.54x = 541,471.21 × 231,219.38
  4. Step 4: Simplify right side
    392,357.54x = 125,198,638,239.68
  5. Step 5: Solve for x
    x = 125,198,638,239.68/392,357.54
  6. Step 6: Final answer
    x = 319,093.24

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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.