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Finding the Fourth Proportional to 323,967.39, 447,163.91 and 188,045.13

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Solution

The fourth proportional to 323,967.39, 447,163.91 and 188,045.13 is: 259,553.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,967.39 : 447,163.91 = 188,045.13 : x
  2. Step 2: Convert to fraction form
    323,967.39/447,163.91 = 188,045.13/x
  3. Step 3: Cross multiply
    323,967.39x = 447,163.91 × 188,045.13
  4. Step 4: Simplify right side
    323,967.39x = 84,086,995,587.26
  5. Step 5: Solve for x
    x = 84,086,995,587.26/323,967.39
  6. Step 6: Final answer
    x = 259,553.89

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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.