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Finding the Fourth Proportional to 339,796.30, 468,930.94 and 186,846.14

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Solution

The fourth proportional to 339,796.30, 468,930.94 and 186,846.14 is: 257,854.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,796.30 : 468,930.94 = 186,846.14 : x
  2. Step 2: Convert to fraction form
    339,796.30/468,930.94 = 186,846.14/x
  3. Step 3: Cross multiply
    339,796.30x = 468,930.94 × 186,846.14
  4. Step 4: Simplify right side
    339,796.30x = 87,617,936,065.57
  5. Step 5: Solve for x
    x = 87,617,936,065.57/339,796.30
  6. Step 6: Final answer
    x = 257,854.30

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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.