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Finding the Fourth Proportional to 339,965.90, 509,511.45 and 206,704.70

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Solution

The fourth proportional to 339,965.90, 509,511.45 and 206,704.70 is: 309,791.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,965.90 : 509,511.45 = 206,704.70 : x
  2. Step 2: Convert to fraction form
    339,965.90/509,511.45 = 206,704.70/x
  3. Step 3: Cross multiply
    339,965.90x = 509,511.45 × 206,704.70
  4. Step 4: Simplify right side
    339,965.90x = 105,318,411,418.82
  5. Step 5: Solve for x
    x = 105,318,411,418.82/339,965.90
  6. Step 6: Final answer
    x = 309,791.10

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