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Finding the Fourth Proportional to 278,222.52, 417,193.44 and 198,214.80

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Solution

The fourth proportional to 278,222.52, 417,193.44 and 198,214.80 is: 297,222.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,222.52 : 417,193.44 = 198,214.80 : x
  2. Step 2: Convert to fraction form
    278,222.52/417,193.44 = 198,214.80/x
  3. Step 3: Cross multiply
    278,222.52x = 417,193.44 × 198,214.80
  4. Step 4: Simplify right side
    278,222.52x = 82,693,914,270.91
  5. Step 5: Solve for x
    x = 82,693,914,270.91/278,222.52
  6. Step 6: Final answer
    x = 297,222.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.