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Finding the Fourth Proportional to 276,846.13, 414,926.56 and 196,756.44

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Solution

The fourth proportional to 276,846.13, 414,926.56 and 196,756.44 is: 294,891.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,846.13 : 414,926.56 = 196,756.44 : x
  2. Step 2: Convert to fraction form
    276,846.13/414,926.56 = 196,756.44/x
  3. Step 3: Cross multiply
    276,846.13x = 414,926.56 × 196,756.44
  4. Step 4: Simplify right side
    276,846.13x = 81,639,472,807.05
  5. Step 5: Solve for x
    x = 81,639,472,807.05/276,846.13
  6. Step 6: Final answer
    x = 294,891.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.