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Finding the Fourth Proportional to 364,858.20, 547,287.30 and 204,769.80

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Solution

The fourth proportional to 364,858.20, 547,287.30 and 204,769.80 is: 307,154.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,858.20 : 547,287.30 = 204,769.80 : x
  2. Step 2: Convert to fraction form
    364,858.20/547,287.30 = 204,769.80/x
  3. Step 3: Cross multiply
    364,858.20x = 547,287.30 × 204,769.80
  4. Step 4: Simplify right side
    364,858.20x = 112,067,910,963.54
  5. Step 5: Solve for x
    x = 112,067,910,963.54/364,858.20
  6. Step 6: Final answer
    x = 307,154.70

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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.