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Finding the Fourth Proportional to 339,841.60, 510,151.20 and 199,679.20

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Solution

The fourth proportional to 339,841.60, 510,151.20 and 199,679.20 is: 299,747.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,841.60 : 510,151.20 = 199,679.20 : x
  2. Step 2: Convert to fraction form
    339,841.60/510,151.20 = 199,679.20/x
  3. Step 3: Cross multiply
    339,841.60x = 510,151.20 × 199,679.20
  4. Step 4: Simplify right side
    339,841.60x = 101,866,583,495.04
  5. Step 5: Solve for x
    x = 101,866,583,495.04/339,841.60
  6. Step 6: Final answer
    x = 299,747.25

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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.