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Finding the Fourth Proportional to 278,015.79, 417,023.69 and 240,464.32

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Solution

The fourth proportional to 278,015.79, 417,023.69 and 240,464.32 is: 360,696.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,015.79 : 417,023.69 = 240,464.32 : x
  2. Step 2: Convert to fraction form
    278,015.79/417,023.69 = 240,464.32/x
  3. Step 3: Cross multiply
    278,015.79x = 417,023.69 × 240,464.32
  4. Step 4: Simplify right side
    278,015.79x = 100,279,318,320.35
  5. Step 5: Solve for x
    x = 100,279,318,320.35/278,015.79
  6. Step 6: Final answer
    x = 360,696.48

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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.