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Finding the Fourth Proportional to 462,626.24, 693,843.17 and 178,219.04

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Solution

The fourth proportional to 462,626.24, 693,843.17 and 178,219.04 is: 267,291.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,626.24 : 693,843.17 = 178,219.04 : x
  2. Step 2: Convert to fraction form
    462,626.24/693,843.17 = 178,219.04/x
  3. Step 3: Cross multiply
    462,626.24x = 693,843.17 × 178,219.04
  4. Step 4: Simplify right side
    462,626.24x = 123,656,059,307.65
  5. Step 5: Solve for x
    x = 123,656,059,307.65/462,626.24
  6. Step 6: Final answer
    x = 267,291.50

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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.