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Finding the Fourth Proportional to 276,729.60, 415,094.40 and 182,251.20

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Solution

The fourth proportional to 276,729.60, 415,094.40 and 182,251.20 is: 273,376.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,729.60 : 415,094.40 = 182,251.20 : x
  2. Step 2: Convert to fraction form
    276,729.60/415,094.40 = 182,251.20/x
  3. Step 3: Cross multiply
    276,729.60x = 415,094.40 × 182,251.20
  4. Step 4: Simplify right side
    276,729.60x = 75,651,452,513.28
  5. Step 5: Solve for x
    x = 75,651,452,513.28/276,729.60
  6. Step 6: Final answer
    x = 273,376.80

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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.