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Finding the Fourth Proportional to 462,099.16, 693,227.57 and 206,024.65

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Solution

The fourth proportional to 462,099.16, 693,227.57 and 206,024.65 is: 309,072.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,099.16 : 693,227.57 = 206,024.65 : x
  2. Step 2: Convert to fraction form
    462,099.16/693,227.57 = 206,024.65/x
  3. Step 3: Cross multiply
    462,099.16x = 693,227.57 × 206,024.65
  4. Step 4: Simplify right side
    462,099.16x = 142,821,964,716.41
  5. Step 5: Solve for x
    x = 142,821,964,716.41/462,099.16
  6. Step 6: Final answer
    x = 309,072.11

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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.