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Finding the Fourth Proportional to 543,449.52, 814,912.02 and 227,821.68

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Solution

The fourth proportional to 543,449.52, 814,912.02 and 227,821.68 is: 341,622.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,449.52 : 814,912.02 = 227,821.68 : x
  2. Step 2: Convert to fraction form
    543,449.52/814,912.02 = 227,821.68/x
  3. Step 3: Cross multiply
    543,449.52x = 814,912.02 × 227,821.68
  4. Step 4: Simplify right side
    543,449.52x = 185,654,625,448.59
  5. Step 5: Solve for x
    x = 185,654,625,448.59/543,449.52
  6. Step 6: Final answer
    x = 341,622.58

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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.