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Finding the Fourth Proportional to 276,808.40, 414,521.40 and 182,805.20

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Solution

The fourth proportional to 276,808.40, 414,521.40 and 182,805.20 is: 273,751.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,808.40 : 414,521.40 = 182,805.20 : x
  2. Step 2: Convert to fraction form
    276,808.40/414,521.40 = 182,805.20/x
  3. Step 3: Cross multiply
    276,808.40x = 414,521.40 × 182,805.20
  4. Step 4: Simplify right side
    276,808.40x = 75,776,667,431.28
  5. Step 5: Solve for x
    x = 75,776,667,431.28/276,808.40
  6. Step 6: Final answer
    x = 273,751.33

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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.