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Finding the Fourth Proportional to 339,290.85, 508,160.92 and 161,922.43

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Solution

The fourth proportional to 339,290.85, 508,160.92 and 161,922.43 is: 242,513.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,290.85 : 508,160.92 = 161,922.43 : x
  2. Step 2: Convert to fraction form
    339,290.85/508,160.92 = 161,922.43/x
  3. Step 3: Cross multiply
    339,290.85x = 508,160.92 × 161,922.43
  4. Step 4: Simplify right side
    339,290.85x = 82,282,650,997.44
  5. Step 5: Solve for x
    x = 82,282,650,997.44/339,290.85
  6. Step 6: Final answer
    x = 242,513.62

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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.