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Finding the Fourth Proportional to 462,097.25, 693,224.69 and 206,022.74

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Solution

The fourth proportional to 462,097.25, 693,224.69 and 206,022.74 is: 309,069.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,097.25 : 693,224.69 = 206,022.74 : x
  2. Step 2: Convert to fraction form
    462,097.25/693,224.69 = 206,022.74/x
  3. Step 3: Cross multiply
    462,097.25x = 693,224.69 × 206,022.74
  4. Step 4: Simplify right side
    462,097.25x = 142,820,046,732.09
  5. Step 5: Solve for x
    x = 142,820,046,732.09/462,097.25
  6. Step 6: Final answer
    x = 309,069.24

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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.