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Finding the Fourth Proportional to 288,974.20, 433,461.30 and 200,327.80

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Solution

The fourth proportional to 288,974.20, 433,461.30 and 200,327.80 is: 300,491.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,974.20 : 433,461.30 = 200,327.80 : x
  2. Step 2: Convert to fraction form
    288,974.20/433,461.30 = 200,327.80/x
  3. Step 3: Cross multiply
    288,974.20x = 433,461.30 × 200,327.80
  4. Step 4: Simplify right side
    288,974.20x = 86,834,348,614.14
  5. Step 5: Solve for x
    x = 86,834,348,614.14/288,974.20
  6. Step 6: Final answer
    x = 300,491.70

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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.