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Finding the Fourth Proportional to 269,478.41, 404,217.61 and 82,465.61

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Solution

The fourth proportional to 269,478.41, 404,217.61 and 82,465.61 is: 123,698.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,478.41 : 404,217.61 = 82,465.61 : x
  2. Step 2: Convert to fraction form
    269,478.41/404,217.61 = 82,465.61/x
  3. Step 3: Cross multiply
    269,478.41x = 404,217.61 × 82,465.61
  4. Step 4: Simplify right side
    269,478.41x = 33,334,049,554.14
  5. Step 5: Solve for x
    x = 33,334,049,554.14/269,478.41
  6. Step 6: Final answer
    x = 123,698.41

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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.