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Finding the Fourth Proportional to 278,965.20, 384,967.44 and 151,644

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Solution

The fourth proportional to 278,965.20, 384,967.44 and 151,644 is: 209,266.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,965.20 : 384,967.44 = 151,644 : x
  2. Step 2: Convert to fraction form
    278,965.20/384,967.44 = 151,644/x
  3. Step 3: Cross multiply
    278,965.20x = 384,967.44 × 151,644
  4. Step 4: Simplify right side
    278,965.20x = 58,378,002,471.36
  5. Step 5: Solve for x
    x = 58,378,002,471.36/278,965.20
  6. Step 6: Final answer
    x = 209,266.25

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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.