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Finding the Fourth Proportional to 276,677.60, 415,016.40 and 271,428.80

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Solution

The fourth proportional to 276,677.60, 415,016.40 and 271,428.80 is: 407,143.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,677.60 : 415,016.40 = 271,428.80 : x
  2. Step 2: Convert to fraction form
    276,677.60/415,016.40 = 271,428.80/x
  3. Step 3: Cross multiply
    276,677.60x = 415,016.40 × 271,428.80
  4. Step 4: Simplify right side
    276,677.60x = 112,647,403,432.32
  5. Step 5: Solve for x
    x = 112,647,403,432.32/276,677.60
  6. Step 6: Final answer
    x = 407,143.20

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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.