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Finding the Fourth Proportional to 278,213.52, 417,179.95 and 198,205.77

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Solution

The fourth proportional to 278,213.52, 417,179.95 and 198,205.77 is: 297,208.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,213.52 : 417,179.95 = 198,205.77 : x
  2. Step 2: Convert to fraction form
    278,213.52/417,179.95 = 198,205.77/x
  3. Step 3: Cross multiply
    278,213.52x = 417,179.95 × 198,205.77
  4. Step 4: Simplify right side
    278,213.52x = 82,687,473,218.31
  5. Step 5: Solve for x
    x = 82,687,473,218.31/278,213.52
  6. Step 6: Final answer
    x = 297,208.68

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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.