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Finding the Fourth Proportional to 278,670.68, 384,634.37 and 157,883.18

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Solution

The fourth proportional to 278,670.68, 384,634.37 and 157,883.18 is: 217,917.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,670.68 : 384,634.37 = 157,883.18 : x
  2. Step 2: Convert to fraction form
    278,670.68/384,634.37 = 157,883.18/x
  3. Step 3: Cross multiply
    278,670.68x = 384,634.37 × 157,883.18
  4. Step 4: Simplify right side
    278,670.68x = 60,727,295,944.43
  5. Step 5: Solve for x
    x = 60,727,295,944.43/278,670.68
  6. Step 6: Final answer
    x = 217,917.78

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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.