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Finding the Fourth Proportional to 288,049.20, 431,296.20 and 225,841.20

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Solution

The fourth proportional to 288,049.20, 431,296.20 and 225,841.20 is: 338,152.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,049.20 : 431,296.20 = 225,841.20 : x
  2. Step 2: Convert to fraction form
    288,049.20/431,296.20 = 225,841.20/x
  3. Step 3: Cross multiply
    288,049.20x = 431,296.20 × 225,841.20
  4. Step 4: Simplify right side
    288,049.20x = 97,404,451,363.44
  5. Step 5: Solve for x
    x = 97,404,451,363.44/288,049.20
  6. Step 6: Final answer
    x = 338,152.13

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1.5x scale

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.