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Finding the Fourth Proportional to 298,736.16, 412,067.55 and 177,787.14

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Solution

The fourth proportional to 298,736.16, 412,067.55 and 177,787.14 is: 245,234.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,736.16 : 412,067.55 = 177,787.14 : x
  2. Step 2: Convert to fraction form
    298,736.16/412,067.55 = 177,787.14/x
  3. Step 3: Cross multiply
    298,736.16x = 412,067.55 × 177,787.14
  4. Step 4: Simplify right side
    298,736.16x = 73,260,311,201.31
  5. Step 5: Solve for x
    x = 73,260,311,201.31/298,736.16
  6. Step 6: Final answer
    x = 245,234.16

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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.