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Finding the Fourth Proportional to 361,906.30, 541,822.65 and 320,434.30

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Solution

The fourth proportional to 361,906.30, 541,822.65 and 320,434.30 is: 479,733.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,906.30 : 541,822.65 = 320,434.30 : x
  2. Step 2: Convert to fraction form
    361,906.30/541,822.65 = 320,434.30/x
  3. Step 3: Cross multiply
    361,906.30x = 541,822.65 × 320,434.30
  4. Step 4: Simplify right side
    361,906.30x = 173,618,561,576.90
  5. Step 5: Solve for x
    x = 173,618,561,576.90/361,906.30
  6. Step 6: Final answer
    x = 479,733.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.