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Finding the Fourth Proportional to 269,258.40, 403,960.30 and 82,264.80

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Solution

The fourth proportional to 269,258.40, 403,960.30 and 82,264.80 is: 123,419.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,258.40 : 403,960.30 = 82,264.80 : x
  2. Step 2: Convert to fraction form
    269,258.40/403,960.30 = 82,264.80/x
  3. Step 3: Cross multiply
    269,258.40x = 403,960.30 × 82,264.80
  4. Step 4: Simplify right side
    269,258.40x = 33,231,713,287.44
  5. Step 5: Solve for x
    x = 33,231,713,287.44/269,258.40
  6. Step 6: Final answer
    x = 123,419.41

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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.