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Finding the Fourth Proportional to 332,158, 458,378.04 and 198,022

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Solution

The fourth proportional to 332,158, 458,378.04 and 198,022 is: 273,270.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,158 : 458,378.04 = 198,022 : x
  2. Step 2: Convert to fraction form
    332,158/458,378.04 = 198,022/x
  3. Step 3: Cross multiply
    332,158x = 458,378.04 × 198,022
  4. Step 4: Simplify right side
    332,158x = 90,768,936,236.88
  5. Step 5: Solve for x
    x = 90,768,936,236.88/332,158
  6. Step 6: Final answer
    x = 273,270.36

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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.