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Finding the Fourth Proportional to 462,099.25, 693,227.70 and 206,024.74

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Solution

The fourth proportional to 462,099.25, 693,227.70 and 206,024.74 is: 309,072.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,099.25 : 693,227.70 = 206,024.74 : x
  2. Step 2: Convert to fraction form
    462,099.25/693,227.70 = 206,024.74/x
  3. Step 3: Cross multiply
    462,099.25x = 693,227.70 × 206,024.74
  4. Step 4: Simplify right side
    462,099.25x = 142,822,056,653.30
  5. Step 5: Solve for x
    x = 142,822,056,653.30/462,099.25
  6. Step 6: Final answer
    x = 309,072.25

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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.