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Finding the Fourth Proportional to 264,718.91, 396,855.30 and 114,846.43

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Solution

The fourth proportional to 264,718.91, 396,855.30 and 114,846.43 is: 172,172.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,718.91 : 396,855.30 = 114,846.43 : x
  2. Step 2: Convert to fraction form
    264,718.91/396,855.30 = 114,846.43/x
  3. Step 3: Cross multiply
    264,718.91x = 396,855.30 × 114,846.43
  4. Step 4: Simplify right side
    264,718.91x = 45,577,413,439.44
  5. Step 5: Solve for x
    x = 45,577,413,439.44/264,718.91
  6. Step 6: Final answer
    x = 172,172.87

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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.