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Finding the Fourth Proportional to 264,546.98, 396,835.45 and 84,648.22

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Solution

The fourth proportional to 264,546.98, 396,835.45 and 84,648.22 is: 126,977.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,546.98 : 396,835.45 = 84,648.22 : x
  2. Step 2: Convert to fraction form
    264,546.98/396,835.45 = 84,648.22/x
  3. Step 3: Cross multiply
    264,546.98x = 396,835.45 × 84,648.22
  4. Step 4: Simplify right side
    264,546.98x = 33,591,414,475.40
  5. Step 5: Solve for x
    x = 33,591,414,475.40/264,546.98
  6. Step 6: Final answer
    x = 126,977.12

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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.