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Finding the Fourth Proportional to 442,814.20, 664,221.30 and 265,229.80

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Solution

The fourth proportional to 442,814.20, 664,221.30 and 265,229.80 is: 397,844.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,814.20 : 664,221.30 = 265,229.80 : x
  2. Step 2: Convert to fraction form
    442,814.20/664,221.30 = 265,229.80/x
  3. Step 3: Cross multiply
    442,814.20x = 664,221.30 × 265,229.80
  4. Step 4: Simplify right side
    442,814.20x = 176,171,282,554.74
  5. Step 5: Solve for x
    x = 176,171,282,554.74/442,814.20
  6. Step 6: Final answer
    x = 397,844.70

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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.