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Finding the Fourth Proportional to 339,983.20, 510,051.60 and 199,669.60

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Solution

The fourth proportional to 339,983.20, 510,051.60 and 199,669.60 is: 299,549.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,983.20 : 510,051.60 = 199,669.60 : x
  2. Step 2: Convert to fraction form
    339,983.20/510,051.60 = 199,669.60/x
  3. Step 3: Cross multiply
    339,983.20x = 510,051.60 × 199,669.60
  4. Step 4: Simplify right side
    339,983.20x = 101,841,798,951.36
  5. Step 5: Solve for x
    x = 101,841,798,951.36/339,983.20
  6. Step 6: Final answer
    x = 299,549.50

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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.