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Finding the Fourth Proportional to 339,871.60, 510,196.20 and 199,709.20

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Solution

The fourth proportional to 339,871.60, 510,196.20 and 199,709.20 is: 299,792.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,871.60 : 510,196.20 = 199,709.20 : x
  2. Step 2: Convert to fraction form
    339,871.60/510,196.20 = 199,709.20/x
  3. Step 3: Cross multiply
    339,871.60x = 510,196.20 × 199,709.20
  4. Step 4: Simplify right side
    339,871.60x = 101,890,874,945.04
  5. Step 5: Solve for x
    x = 101,890,874,945.04/339,871.60
  6. Step 6: Final answer
    x = 299,792.26

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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.