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Finding the Fourth Proportional to 422,241.18, 582,692.79 and 231,255.06

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Solution

The fourth proportional to 422,241.18, 582,692.79 and 231,255.06 is: 319,131.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,241.18 : 582,692.79 = 231,255.06 : x
  2. Step 2: Convert to fraction form
    422,241.18/582,692.79 = 231,255.06/x
  3. Step 3: Cross multiply
    422,241.18x = 582,692.79 × 231,255.06
  4. Step 4: Simplify right side
    422,241.18x = 134,750,656,113.02
  5. Step 5: Solve for x
    x = 134,750,656,113.02/422,241.18
  6. Step 6: Final answer
    x = 319,131.96

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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.