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Finding the Fourth Proportional to 424,137.98, 635,347.65 and 196,109.53

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Solution

The fourth proportional to 424,137.98, 635,347.65 and 196,109.53 is: 293,766.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,137.98 : 635,347.65 = 196,109.53 : x
  2. Step 2: Convert to fraction form
    424,137.98/635,347.65 = 196,109.53/x
  3. Step 3: Cross multiply
    424,137.98x = 635,347.65 × 196,109.53
  4. Step 4: Simplify right side
    424,137.98x = 124,597,729,028.11
  5. Step 5: Solve for x
    x = 124,597,729,028.11/424,137.98
  6. Step 6: Final answer
    x = 293,766.97

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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.