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Finding the Fourth Proportional to 276,854.88, 414,939.69 and 196,765.20

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Solution

The fourth proportional to 276,854.88, 414,939.69 and 196,765.20 is: 294,904.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,854.88 : 414,939.69 = 196,765.20 : x
  2. Step 2: Convert to fraction form
    276,854.88/414,939.69 = 196,765.20/x
  3. Step 3: Cross multiply
    276,854.88x = 414,939.69 × 196,765.20
  4. Step 4: Simplify right side
    276,854.88x = 81,645,691,090.79
  5. Step 5: Solve for x
    x = 81,645,691,090.79/276,854.88
  6. Step 6: Final answer
    x = 294,904.29

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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.