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Finding the Fourth Proportional to 327,321.61, 490,068.19 and 177,023.41

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Solution

The fourth proportional to 327,321.61, 490,068.19 and 177,023.41 is: 265,040.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,321.61 : 490,068.19 = 177,023.41 : x
  2. Step 2: Convert to fraction form
    327,321.61/490,068.19 = 177,023.41/x
  3. Step 3: Cross multiply
    327,321.61x = 490,068.19 × 177,023.41
  4. Step 4: Simplify right side
    327,321.61x = 86,753,541,122.44
  5. Step 5: Solve for x
    x = 86,753,541,122.44/327,321.61
  6. Step 6: Final answer
    x = 265,040.68

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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.