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Finding the Fourth Proportional to 411,446.20, 618,206.10 and 261,758.20

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Solution

The fourth proportional to 411,446.20, 618,206.10 and 261,758.20 is: 393,296.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,446.20 : 618,206.10 = 261,758.20 : x
  2. Step 2: Convert to fraction form
    411,446.20/618,206.10 = 261,758.20/x
  3. Step 3: Cross multiply
    411,446.20x = 618,206.10 × 261,758.20
  4. Step 4: Simplify right side
    411,446.20x = 161,820,515,965.02
  5. Step 5: Solve for x
    x = 161,820,515,965.02/411,446.20
  6. Step 6: Final answer
    x = 393,296.90

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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.