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Finding the Fourth Proportional to 617,834.20, 926,751.30 and 218,471.80

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Solution

The fourth proportional to 617,834.20, 926,751.30 and 218,471.80 is: 327,707.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,834.20 : 926,751.30 = 218,471.80 : x
  2. Step 2: Convert to fraction form
    617,834.20/926,751.30 = 218,471.80/x
  3. Step 3: Cross multiply
    617,834.20x = 926,751.30 × 218,471.80
  4. Step 4: Simplify right side
    617,834.20x = 202,469,024,663.34
  5. Step 5: Solve for x
    x = 202,469,024,663.34/617,834.20
  6. Step 6: Final answer
    x = 327,707.70

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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.