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Finding the Fourth Proportional to 424,066.28, 635,185.95 and 199,089.59

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Solution

The fourth proportional to 424,066.28, 635,185.95 and 199,089.59 is: 298,205.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,066.28 : 635,185.95 = 199,089.59 : x
  2. Step 2: Convert to fraction form
    424,066.28/635,185.95 = 199,089.59/x
  3. Step 3: Cross multiply
    424,066.28x = 635,185.95 × 199,089.59
  4. Step 4: Simplify right side
    424,066.28x = 126,458,907,183.33
  5. Step 5: Solve for x
    x = 126,458,907,183.33/424,066.28
  6. Step 6: Final answer
    x = 298,205.53

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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.