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Finding the Fourth Proportional to 327,114.40, 490,671.60 and 274,626.40

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Solution

The fourth proportional to 327,114.40, 490,671.60 and 274,626.40 is: 411,939.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,114.40 : 490,671.60 = 274,626.40 : x
  2. Step 2: Convert to fraction form
    327,114.40/490,671.60 = 274,626.40/x
  3. Step 3: Cross multiply
    327,114.40x = 490,671.60 × 274,626.40
  4. Step 4: Simplify right side
    327,114.40x = 134,751,375,090.24
  5. Step 5: Solve for x
    x = 134,751,375,090.24/327,114.40
  6. Step 6: Final answer
    x = 411,939.60

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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.