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Finding the Fourth Proportional to 392,361, 541,420.78 and 220,239.55

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Solution

The fourth proportional to 392,361, 541,420.78 and 220,239.55 is: 303,909.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,361 : 541,420.78 = 220,239.55 : x
  2. Step 2: Convert to fraction form
    392,361/541,420.78 = 220,239.55/x
  3. Step 3: Cross multiply
    392,361x = 541,420.78 × 220,239.55
  4. Step 4: Simplify right side
    392,361x = 119,242,268,947.85
  5. Step 5: Solve for x
    x = 119,242,268,947.85/392,361
  6. Step 6: Final answer
    x = 303,909.59

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