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Finding the Fourth Proportional to 327,451.20, 491,176.80 and 288,085.20

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Solution

The fourth proportional to 327,451.20, 491,176.80 and 288,085.20 is: 432,127.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,451.20 : 491,176.80 = 288,085.20 : x
  2. Step 2: Convert to fraction form
    327,451.20/491,176.80 = 288,085.20/x
  3. Step 3: Cross multiply
    327,451.20x = 491,176.80 × 288,085.20
  4. Step 4: Simplify right side
    327,451.20x = 141,500,766,663.36
  5. Step 5: Solve for x
    x = 141,500,766,663.36/327,451.20
  6. Step 6: Final answer
    x = 432,127.80

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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.