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Finding the Fourth Proportional to 392,218.98, 588,325.83 and 259,692.31

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Solution

The fourth proportional to 392,218.98, 588,325.83 and 259,692.31 is: 389,536.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,218.98 : 588,325.83 = 259,692.31 : x
  2. Step 2: Convert to fraction form
    392,218.98/588,325.83 = 259,692.31/x
  3. Step 3: Cross multiply
    392,218.98x = 588,325.83 × 259,692.31
  4. Step 4: Simplify right side
    392,218.98x = 152,783,693,825.37
  5. Step 5: Solve for x
    x = 152,783,693,825.37/392,218.98
  6. Step 6: Final answer
    x = 389,536.72

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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.