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Finding the Fourth Proportional to 327,103.60, 490,655.40 and 274,226.80

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Solution

The fourth proportional to 327,103.60, 490,655.40 and 274,226.80 is: 411,340.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,103.60 : 490,655.40 = 274,226.80 : x
  2. Step 2: Convert to fraction form
    327,103.60/490,655.40 = 274,226.80/x
  3. Step 3: Cross multiply
    327,103.60x = 490,655.40 × 274,226.80
  4. Step 4: Simplify right side
    327,103.60x = 134,550,860,244.72
  5. Step 5: Solve for x
    x = 134,550,860,244.72/327,103.60
  6. Step 6: Final answer
    x = 411,340.20

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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.