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Finding the Fourth Proportional to 327,231.40, 490,847.10 and 177,543.40

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Solution

The fourth proportional to 327,231.40, 490,847.10 and 177,543.40 is: 266,315.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,231.40 : 490,847.10 = 177,543.40 : x
  2. Step 2: Convert to fraction form
    327,231.40/490,847.10 = 177,543.40/x
  3. Step 3: Cross multiply
    327,231.40x = 490,847.10 × 177,543.40
  4. Step 4: Simplify right side
    327,231.40x = 87,146,663,014.14
  5. Step 5: Solve for x
    x = 87,146,663,014.14/327,231.40
  6. Step 6: Final answer
    x = 266,315.10

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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.