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Finding the Fourth Proportional to 273,884.40, 410,826.60 and 76,892.40

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Solution

The fourth proportional to 273,884.40, 410,826.60 and 76,892.40 is: 115,338.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,884.40 : 410,826.60 = 76,892.40 : x
  2. Step 2: Convert to fraction form
    273,884.40/410,826.60 = 76,892.40/x
  3. Step 3: Cross multiply
    273,884.40x = 410,826.60 × 76,892.40
  4. Step 4: Simplify right side
    273,884.40x = 31,589,443,257.84
  5. Step 5: Solve for x
    x = 31,589,443,257.84/273,884.40
  6. Step 6: Final answer
    x = 115,338.60

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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.