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Finding the Fourth Proportional to 313,286.46, 469,544.40 and 123,556.38

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Solution

The fourth proportional to 313,286.46, 469,544.40 and 123,556.38 is: 185,182.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,286.46 : 469,544.40 = 123,556.38 : x
  2. Step 2: Convert to fraction form
    313,286.46/469,544.40 = 123,556.38/x
  3. Step 3: Cross multiply
    313,286.46x = 469,544.40 × 123,556.38
  4. Step 4: Simplify right side
    313,286.46x = 58,015,206,313.27
  5. Step 5: Solve for x
    x = 58,015,206,313.27/313,286.46
  6. Step 6: Final answer
    x = 185,182.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.