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Finding the Fourth Proportional to 411,581.80, 617,027.10 and 214,589.80

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Solution

The fourth proportional to 411,581.80, 617,027.10 and 214,589.80 is: 321,704.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,581.80 : 617,027.10 = 214,589.80 : x
  2. Step 2: Convert to fraction form
    411,581.80/617,027.10 = 214,589.80/x
  3. Step 3: Cross multiply
    411,581.80x = 617,027.10 × 214,589.80
  4. Step 4: Simplify right side
    411,581.80x = 132,407,721,983.58
  5. Step 5: Solve for x
    x = 132,407,721,983.58/411,581.80
  6. Step 6: Final answer
    x = 321,704.51

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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.