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Finding the Fourth Proportional to 339,401.20, 509,101.80 and 199,087.60

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Solution

The fourth proportional to 339,401.20, 509,101.80 and 199,087.60 is: 298,631.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,401.20 : 509,101.80 = 199,087.60 : x
  2. Step 2: Convert to fraction form
    339,401.20/509,101.80 = 199,087.60/x
  3. Step 3: Cross multiply
    339,401.20x = 509,101.80 × 199,087.60
  4. Step 4: Simplify right side
    339,401.20x = 101,355,855,517.68
  5. Step 5: Solve for x
    x = 101,355,855,517.68/339,401.20
  6. Step 6: Final answer
    x = 298,631.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.