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Finding the Fourth Proportional to 398,661.26, 597,991.91 and 162,022.41

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Solution

The fourth proportional to 398,661.26, 597,991.91 and 162,022.41 is: 243,033.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,661.26 : 597,991.91 = 162,022.41 : x
  2. Step 2: Convert to fraction form
    398,661.26/597,991.91 = 162,022.41/x
  3. Step 3: Cross multiply
    398,661.26x = 597,991.91 × 162,022.41
  4. Step 4: Simplify right side
    398,661.26x = 96,888,089,608.59
  5. Step 5: Solve for x
    x = 96,888,089,608.59/398,661.26
  6. Step 6: Final answer
    x = 243,033.62

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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.