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Finding the Fourth Proportional to 327,114.40, 490,687.80 and 169,650.40

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Solution

The fourth proportional to 327,114.40, 490,687.80 and 169,650.40 is: 254,484.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,114.40 : 490,687.80 = 169,650.40 : x
  2. Step 2: Convert to fraction form
    327,114.40/490,687.80 = 169,650.40/x
  3. Step 3: Cross multiply
    327,114.40x = 490,687.80 × 169,650.40
  4. Step 4: Simplify right side
    327,114.40x = 83,245,381,545.12
  5. Step 5: Solve for x
    x = 83,245,381,545.12/327,114.40
  6. Step 6: Final answer
    x = 254,484.00

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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.