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Finding the Fourth Proportional to 276,794.24, 381,577.92 and 197,168

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Solution

The fourth proportional to 276,794.24, 381,577.92 and 197,168 is: 271,808.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,794.24 : 381,577.92 = 197,168 : x
  2. Step 2: Convert to fraction form
    276,794.24/381,577.92 = 197,168/x
  3. Step 3: Cross multiply
    276,794.24x = 381,577.92 × 197,168
  4. Step 4: Simplify right side
    276,794.24x = 75,234,955,330.56
  5. Step 5: Solve for x
    x = 75,234,955,330.56/276,794.24
  6. Step 6: Final answer
    x = 271,808.24

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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.