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Finding the Fourth Proportional to 442,816.20, 664,224.30 and 265,231.80

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Solution

The fourth proportional to 442,816.20, 664,224.30 and 265,231.80 is: 397,847.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,816.20 : 664,224.30 = 265,231.80 : x
  2. Step 2: Convert to fraction form
    442,816.20/664,224.30 = 265,231.80/x
  3. Step 3: Cross multiply
    442,816.20x = 664,224.30 × 265,231.80
  4. Step 4: Simplify right side
    442,816.20x = 176,173,406,692.74
  5. Step 5: Solve for x
    x = 176,173,406,692.74/442,816.20
  6. Step 6: Final answer
    x = 397,847.70

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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.