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Finding the Fourth Proportional to 276,463.13, 414,760.50 and 89,474.63

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Solution

The fourth proportional to 276,463.13, 414,760.50 and 89,474.63 is: 134,233.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,463.13 : 414,760.50 = 89,474.63 : x
  2. Step 2: Convert to fraction form
    276,463.13/414,760.50 = 89,474.63/x
  3. Step 3: Cross multiply
    276,463.13x = 414,760.50 × 89,474.63
  4. Step 4: Simplify right side
    276,463.13x = 37,110,540,202.31
  5. Step 5: Solve for x
    x = 37,110,540,202.31/276,463.13
  6. Step 6: Final answer
    x = 134,233.24

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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.