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Finding the Fourth Proportional to 408,766.69, 612,975.07 and 142,448.41

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Solution

The fourth proportional to 408,766.69, 612,975.07 and 142,448.41 is: 213,611.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,766.69 : 612,975.07 = 142,448.41 : x
  2. Step 2: Convert to fraction form
    408,766.69/612,975.07 = 142,448.41/x
  3. Step 3: Cross multiply
    408,766.69x = 612,975.07 × 142,448.41
  4. Step 4: Simplify right side
    408,766.69x = 87,317,324,091.14
  5. Step 5: Solve for x
    x = 87,317,324,091.14/408,766.69
  6. Step 6: Final answer
    x = 213,611.64

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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.