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Finding the Fourth Proportional to 302,057.64, 416,747.19 and 198,662.37

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Solution

The fourth proportional to 302,057.64, 416,747.19 and 198,662.37 is: 274,093.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,057.64 : 416,747.19 = 198,662.37 : x
  2. Step 2: Convert to fraction form
    302,057.64/416,747.19 = 198,662.37/x
  3. Step 3: Cross multiply
    302,057.64x = 416,747.19 × 198,662.37
  4. Step 4: Simplify right side
    302,057.64x = 82,791,984,456.24
  5. Step 5: Solve for x
    x = 82,791,984,456.24/302,057.64
  6. Step 6: Final answer
    x = 274,093.33

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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.