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Finding the Fourth Proportional to 339,351, 468,345.69 and 196,112.22

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Solution

The fourth proportional to 339,351, 468,345.69 and 196,112.22 is: 270,658.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,351 : 468,345.69 = 196,112.22 : x
  2. Step 2: Convert to fraction form
    339,351/468,345.69 = 196,112.22/x
  3. Step 3: Cross multiply
    339,351x = 468,345.69 × 196,112.22
  4. Step 4: Simplify right side
    339,351x = 91,848,312,993.33
  5. Step 5: Solve for x
    x = 91,848,312,993.33/339,351
  6. Step 6: Final answer
    x = 270,658.74

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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.