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Finding the Fourth Proportional to 317,965.92, 476,593.62 and 137,843.40

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Solution

The fourth proportional to 317,965.92, 476,593.62 and 137,843.40 is: 206,611.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,965.92 : 476,593.62 = 137,843.40 : x
  2. Step 2: Convert to fraction form
    317,965.92/476,593.62 = 137,843.40/x
  3. Step 3: Cross multiply
    317,965.92x = 476,593.62 × 137,843.40
  4. Step 4: Simplify right side
    317,965.92x = 65,695,284,999.11
  5. Step 5: Solve for x
    x = 65,695,284,999.11/317,965.92
  6. Step 6: Final answer
    x = 206,611.09

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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.