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Finding the Fourth Proportional to 317,591.73, 476,389.76 and 107,231.49

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Solution

The fourth proportional to 317,591.73, 476,389.76 and 107,231.49 is: 160,847.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,591.73 : 476,389.76 = 107,231.49 : x
  2. Step 2: Convert to fraction form
    317,591.73/476,389.76 = 107,231.49/x
  3. Step 3: Cross multiply
    317,591.73x = 476,389.76 × 107,231.49
  4. Step 4: Simplify right side
    317,591.73x = 51,083,983,249.39
  5. Step 5: Solve for x
    x = 51,083,983,249.39/317,591.73
  6. Step 6: Final answer
    x = 160,847.96

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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.