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Finding the Fourth Proportional to 317,001.75, 475,708.75 and 137,262.70

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Solution

The fourth proportional to 317,001.75, 475,708.75 and 137,262.70 is: 205,983.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,001.75 : 475,708.75 = 137,262.70 : x
  2. Step 2: Convert to fraction form
    317,001.75/475,708.75 = 137,262.70/x
  3. Step 3: Cross multiply
    317,001.75x = 475,708.75 × 137,262.70
  4. Step 4: Simplify right side
    317,001.75x = 65,297,067,690.10
  5. Step 5: Solve for x
    x = 65,297,067,690.10/317,001.75
  6. Step 6: Final answer
    x = 205,983.30

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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.