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Finding the Fourth Proportional to 265,171.09, 397,231.75 and 231,928.69

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Solution

The fourth proportional to 265,171.09, 397,231.75 and 231,928.69 is: 347,433.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,171.09 : 397,231.75 = 231,928.69 : x
  2. Step 2: Convert to fraction form
    265,171.09/397,231.75 = 231,928.69/x
  3. Step 3: Cross multiply
    265,171.09x = 397,231.75 × 231,928.69
  4. Step 4: Simplify right side
    265,171.09x = 92,129,436,258.11
  5. Step 5: Solve for x
    x = 92,129,436,258.11/265,171.09
  6. Step 6: Final answer
    x = 347,433.95

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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.