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Finding the Fourth Proportional to 322,584.87, 445,178.31 and 177,396.60

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Solution

The fourth proportional to 322,584.87, 445,178.31 and 177,396.60 is: 244,813.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,584.87 : 445,178.31 = 177,396.60 : x
  2. Step 2: Convert to fraction form
    322,584.87/445,178.31 = 177,396.60/x
  3. Step 3: Cross multiply
    322,584.87x = 445,178.31 × 177,396.60
  4. Step 4: Simplify right side
    322,584.87x = 78,973,118,587.75
  5. Step 5: Solve for x
    x = 78,973,118,587.75/322,584.87
  6. Step 6: Final answer
    x = 244,813.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.