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Finding the Fourth Proportional to 313,352.78, 470,180.61 and 194,993.42

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Solution

The fourth proportional to 313,352.78, 470,180.61 and 194,993.42 is: 292,584.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,352.78 : 470,180.61 = 194,993.42 : x
  2. Step 2: Convert to fraction form
    313,352.78/470,180.61 = 194,993.42/x
  3. Step 3: Cross multiply
    313,352.78x = 470,180.61 × 194,993.42
  4. Step 4: Simplify right side
    313,352.78x = 91,682,125,161.59
  5. Step 5: Solve for x
    x = 91,682,125,161.59/313,352.78
  6. Step 6: Final answer
    x = 292,584.37

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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.