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Finding the Fourth Proportional to 327,110.40, 490,082.40 and 276,955.20

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Solution

The fourth proportional to 327,110.40, 490,082.40 and 276,955.20 is: 414,939.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,110.40 : 490,082.40 = 276,955.20 : x
  2. Step 2: Convert to fraction form
    327,110.40/490,082.40 = 276,955.20/x
  3. Step 3: Cross multiply
    327,110.40x = 490,082.40 × 276,955.20
  4. Step 4: Simplify right side
    327,110.40x = 135,730,869,108.48
  5. Step 5: Solve for x
    x = 135,730,869,108.48/327,110.40
  6. Step 6: Final answer
    x = 414,939.02

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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.