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Finding the Fourth Proportional to 327,144.80, 490,717.20 and 274,656.80

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Solution

The fourth proportional to 327,144.80, 490,717.20 and 274,656.80 is: 411,985.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,144.80 : 490,717.20 = 274,656.80 : x
  2. Step 2: Convert to fraction form
    327,144.80/490,717.20 = 274,656.80/x
  3. Step 3: Cross multiply
    327,144.80x = 490,717.20 × 274,656.80
  4. Step 4: Simplify right side
    327,144.80x = 134,778,815,856.96
  5. Step 5: Solve for x
    x = 134,778,815,856.96/327,144.80
  6. Step 6: Final answer
    x = 411,985.20

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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.