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Finding the Fourth Proportional to 392,748.50, 541,947.30 and 220,642.58

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Solution

The fourth proportional to 392,748.50, 541,947.30 and 220,642.58 is: 304,461.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,748.50 : 541,947.30 = 220,642.58 : x
  2. Step 2: Convert to fraction form
    392,748.50/541,947.30 = 220,642.58/x
  3. Step 3: Cross multiply
    392,748.50x = 541,947.30 × 220,642.58
  4. Step 4: Simplify right side
    392,748.50x = 119,576,650,496.03
  5. Step 5: Solve for x
    x = 119,576,650,496.03/392,748.50
  6. Step 6: Final answer
    x = 304,461.13

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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.