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Finding the Fourth Proportional to 317,292, 475,957.44 and 95,676

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Solution

The fourth proportional to 317,292, 475,957.44 and 95,676 is: 143,519.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,292 : 475,957.44 = 95,676 : x
  2. Step 2: Convert to fraction form
    317,292/475,957.44 = 95,676/x
  3. Step 3: Cross multiply
    317,292x = 475,957.44 × 95,676
  4. Step 4: Simplify right side
    317,292x = 45,537,704,029.44
  5. Step 5: Solve for x
    x = 45,537,704,029.44/317,292
  6. Step 6: Final answer
    x = 143,519.86

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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.