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Finding the Fourth Proportional to 325,311.66, 449,092.89 and 204,519.47

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Solution

The fourth proportional to 325,311.66, 449,092.89 and 204,519.47 is: 282,339.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,311.66 : 449,092.89 = 204,519.47 : x
  2. Step 2: Convert to fraction form
    325,311.66/449,092.89 = 204,519.47/x
  3. Step 3: Cross multiply
    325,311.66x = 449,092.89 × 204,519.47
  4. Step 4: Simplify right side
    325,311.66x = 91,848,237,598.10
  5. Step 5: Solve for x
    x = 91,848,237,598.10/325,311.66
  6. Step 6: Final answer
    x = 282,339.21

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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.