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Finding the Fourth Proportional to 339,306, 468,299.90 and 196,149.04

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Solution

The fourth proportional to 339,306, 468,299.90 and 196,149.04 is: 270,718.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,306 : 468,299.90 = 196,149.04 : x
  2. Step 2: Convert to fraction form
    339,306/468,299.90 = 196,149.04/x
  3. Step 3: Cross multiply
    339,306x = 468,299.90 × 196,149.04
  4. Step 4: Simplify right side
    339,306x = 91,856,575,817.10
  5. Step 5: Solve for x
    x = 91,856,575,817.10/339,306
  6. Step 6: Final answer
    x = 270,718.98

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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.