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Finding the Fourth Proportional to 392,323.30, 588,481.50 and 259,796.36

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Solution

The fourth proportional to 392,323.30, 588,481.50 and 259,796.36 is: 389,692.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,323.30 : 588,481.50 = 259,796.36 : x
  2. Step 2: Convert to fraction form
    392,323.30/588,481.50 = 259,796.36/x
  3. Step 3: Cross multiply
    392,323.30x = 588,481.50 × 259,796.36
  4. Step 4: Simplify right side
    392,323.30x = 152,885,354,072.78
  5. Step 5: Solve for x
    x = 152,885,354,072.78/392,323.30
  6. Step 6: Final answer
    x = 389,692.26

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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.