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Finding the Fourth Proportional to 276,865.62, 414,830.94 and 170,027.52

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Solution

The fourth proportional to 276,865.62, 414,830.94 and 170,027.52 is: 254,754.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,865.62 : 414,830.94 = 170,027.52 : x
  2. Step 2: Convert to fraction form
    276,865.62/414,830.94 = 170,027.52/x
  3. Step 3: Cross multiply
    276,865.62x = 414,830.94 × 170,027.52
  4. Step 4: Simplify right side
    276,865.62x = 70,532,675,947.47
  5. Step 5: Solve for x
    x = 70,532,675,947.47/276,865.62
  6. Step 6: Final answer
    x = 254,754.19

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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.