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Finding the Fourth Proportional to 392,164.36, 541,167.06 and 222,414.28

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Solution

The fourth proportional to 392,164.36, 541,167.06 and 222,414.28 is: 306,920.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,164.36 : 541,167.06 = 222,414.28 : x
  2. Step 2: Convert to fraction form
    392,164.36/541,167.06 = 222,414.28/x
  3. Step 3: Cross multiply
    392,164.36x = 541,167.06 × 222,414.28
  4. Step 4: Simplify right side
    392,164.36x = 120,363,282,009.62
  5. Step 5: Solve for x
    x = 120,363,282,009.62/392,164.36
  6. Step 6: Final answer
    x = 306,920.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.