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Finding the Fourth Proportional to 411,412.20, 618,155.10 and 261,724.20

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Solution

The fourth proportional to 411,412.20, 618,155.10 and 261,724.20 is: 393,245.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,412.20 : 618,155.10 = 261,724.20 : x
  2. Step 2: Convert to fraction form
    411,412.20/618,155.10 = 261,724.20/x
  3. Step 3: Cross multiply
    411,412.20x = 618,155.10 × 261,724.20
  4. Step 4: Simplify right side
    411,412.20x = 161,786,149,023.42
  5. Step 5: Solve for x
    x = 161,786,149,023.42/411,412.20
  6. Step 6: Final answer
    x = 393,245.87

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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.