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Finding the Fourth Proportional to 442,029.40, 663,044.10 and 274,067.80

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Solution

The fourth proportional to 442,029.40, 663,044.10 and 274,067.80 is: 411,101.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,029.40 : 663,044.10 = 274,067.80 : x
  2. Step 2: Convert to fraction form
    442,029.40/663,044.10 = 274,067.80/x
  3. Step 3: Cross multiply
    442,029.40x = 663,044.10 × 274,067.80
  4. Step 4: Simplify right side
    442,029.40x = 181,719,037,789.98
  5. Step 5: Solve for x
    x = 181,719,037,789.98/442,029.40
  6. Step 6: Final answer
    x = 411,101.70

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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.