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Finding the Fourth Proportional to 392,255.51, 588,383.27 and 274,157.51

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Solution

The fourth proportional to 392,255.51, 588,383.27 and 274,157.51 is: 411,236.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,255.51 : 588,383.27 = 274,157.51 : x
  2. Step 2: Convert to fraction form
    392,255.51/588,383.27 = 274,157.51/x
  3. Step 3: Cross multiply
    392,255.51x = 588,383.27 × 274,157.51
  4. Step 4: Simplify right side
    392,255.51x = 161,309,687,916.15
  5. Step 5: Solve for x
    x = 161,309,687,916.15/392,255.51
  6. Step 6: Final answer
    x = 411,236.26

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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.