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Finding the Fourth Proportional to 339,004.52, 467,824.74 and 188,101.16

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Solution

The fourth proportional to 339,004.52, 467,824.74 and 188,101.16 is: 259,578.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,004.52 : 467,824.74 = 188,101.16 : x
  2. Step 2: Convert to fraction form
    339,004.52/467,824.74 = 188,101.16/x
  3. Step 3: Cross multiply
    339,004.52x = 467,824.74 × 188,101.16
  4. Step 4: Simplify right side
    339,004.52x = 87,998,376,270.70
  5. Step 5: Solve for x
    x = 87,998,376,270.70/339,004.52
  6. Step 6: Final answer
    x = 259,578.77

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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.