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Finding the Fourth Proportional to 325,403.82, 449,057.27 and 198,079.41

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Solution

The fourth proportional to 325,403.82, 449,057.27 and 198,079.41 is: 273,349.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,403.82 : 449,057.27 = 198,079.41 : x
  2. Step 2: Convert to fraction form
    325,403.82/449,057.27 = 198,079.41/x
  3. Step 3: Cross multiply
    325,403.82x = 449,057.27 × 198,079.41
  4. Step 4: Simplify right side
    325,403.82x = 88,948,997,797.07
  5. Step 5: Solve for x
    x = 88,948,997,797.07/325,403.82
  6. Step 6: Final answer
    x = 273,349.58

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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.