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Finding the Fourth Proportional to 278,218.50, 417,187.44 and 198,210.78

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Solution

The fourth proportional to 278,218.50, 417,187.44 and 198,210.78 is: 297,216.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,218.50 : 417,187.44 = 198,210.78 : x
  2. Step 2: Convert to fraction form
    278,218.50/417,187.44 = 198,210.78/x
  3. Step 3: Cross multiply
    278,218.50x = 417,187.44 × 198,210.78
  4. Step 4: Simplify right side
    278,218.50x = 82,691,047,888.60
  5. Step 5: Solve for x
    x = 82,691,047,888.60/278,218.50
  6. Step 6: Final answer
    x = 297,216.21

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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.