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Finding the Fourth Proportional to 392,255.44, 588,383.16 and 274,157.44

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Solution

The fourth proportional to 392,255.44, 588,383.16 and 274,157.44 is: 411,236.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,255.44 : 588,383.16 = 274,157.44 : x
  2. Step 2: Convert to fraction form
    392,255.44/588,383.16 = 274,157.44/x
  3. Step 3: Cross multiply
    392,255.44x = 588,383.16 × 274,157.44
  4. Step 4: Simplify right side
    392,255.44x = 161,309,620,884.71
  5. Step 5: Solve for x
    x = 161,309,620,884.71/392,255.44
  6. Step 6: Final answer
    x = 411,236.16

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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.