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Finding the Fourth Proportional to 317,524.60, 476,163.78 and 159,642.64

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Solution

The fourth proportional to 317,524.60, 476,163.78 and 159,642.64 is: 239,402.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,524.60 : 476,163.78 = 159,642.64 : x
  2. Step 2: Convert to fraction form
    317,524.60/476,163.78 = 159,642.64/x
  3. Step 3: Cross multiply
    317,524.60x = 476,163.78 × 159,642.64
  4. Step 4: Simplify right side
    317,524.60x = 76,016,042,911.58
  5. Step 5: Solve for x
    x = 76,016,042,911.58/317,524.60
  6. Step 6: Final answer
    x = 239,402.06

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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.