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Finding the Fourth Proportional to 288,943.20, 433,414.80 and 200,296.80

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Solution

The fourth proportional to 288,943.20, 433,414.80 and 200,296.80 is: 300,445.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,943.20 : 433,414.80 = 200,296.80 : x
  2. Step 2: Convert to fraction form
    288,943.20/433,414.80 = 200,296.80/x
  3. Step 3: Cross multiply
    288,943.20x = 433,414.80 × 200,296.80
  4. Step 4: Simplify right side
    288,943.20x = 86,811,597,512.64
  5. Step 5: Solve for x
    x = 86,811,597,512.64/288,943.20
  6. Step 6: Final answer
    x = 300,445.20

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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.