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Finding the Fourth Proportional to 339,766.96, 468,850.50 and 200,043.34

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Solution

The fourth proportional to 339,766.96, 468,850.50 and 200,043.34 is: 276,043.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,766.96 : 468,850.50 = 200,043.34 : x
  2. Step 2: Convert to fraction form
    339,766.96/468,850.50 = 200,043.34/x
  3. Step 3: Cross multiply
    339,766.96x = 468,850.50 × 200,043.34
  4. Step 4: Simplify right side
    339,766.96x = 93,790,420,152.58
  5. Step 5: Solve for x
    x = 93,790,420,152.58/339,766.96
  6. Step 6: Final answer
    x = 276,043.38

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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.