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Finding the Fourth Proportional to 276,164.12, 414,771.34 and 171,713

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Solution

The fourth proportional to 276,164.12, 414,771.34 and 171,713 is: 257,896.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,164.12 : 414,771.34 = 171,713 : x
  2. Step 2: Convert to fraction form
    276,164.12/414,771.34 = 171,713/x
  3. Step 3: Cross multiply
    276,164.12x = 414,771.34 × 171,713
  4. Step 4: Simplify right side
    276,164.12x = 71,221,631,105.42
  5. Step 5: Solve for x
    x = 71,221,631,105.42/276,164.12
  6. Step 6: Final answer
    x = 257,896.03

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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.