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Finding the Fourth Proportional to 264,634.56, 396,640.80 and 204,914.88

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Solution

The fourth proportional to 264,634.56, 396,640.80 and 204,914.88 is: 307,131.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,634.56 : 396,640.80 = 204,914.88 : x
  2. Step 2: Convert to fraction form
    264,634.56/396,640.80 = 204,914.88/x
  3. Step 3: Cross multiply
    264,634.56x = 396,640.80 × 204,914.88
  4. Step 4: Simplify right side
    264,634.56x = 81,277,601,935.10
  5. Step 5: Solve for x
    x = 81,277,601,935.10/264,634.56
  6. Step 6: Final answer
    x = 307,131.47

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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.