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Finding the Fourth Proportional to 392,167.83, 541,191.60 and 222,401.95

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Solution

The fourth proportional to 392,167.83, 541,191.60 and 222,401.95 is: 306,914.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,167.83 : 541,191.60 = 222,401.95 : x
  2. Step 2: Convert to fraction form
    392,167.83/541,191.60 = 222,401.95/x
  3. Step 3: Cross multiply
    392,167.83x = 541,191.60 × 222,401.95
  4. Step 4: Simplify right side
    392,167.83x = 120,362,069,480.35
  5. Step 5: Solve for x
    x = 120,362,069,480.35/392,167.83
  6. Step 6: Final answer
    x = 306,914.70

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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.