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Finding the Fourth Proportional to 317,296, 475,963.44 and 95,680

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Solution

The fourth proportional to 317,296, 475,963.44 and 95,680 is: 143,525.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,296 : 475,963.44 = 95,680 : x
  2. Step 2: Convert to fraction form
    317,296/475,963.44 = 95,680/x
  3. Step 3: Cross multiply
    317,296x = 475,963.44 × 95,680
  4. Step 4: Simplify right side
    317,296x = 45,540,181,939.20
  5. Step 5: Solve for x
    x = 45,540,181,939.20/317,296
  6. Step 6: Final answer
    x = 143,525.86

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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.