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Finding the Fourth Proportional to 424,229.82, 635,485.41 and 196,201.50

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Solution

The fourth proportional to 424,229.82, 635,485.41 and 196,201.50 is: 293,904.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,229.82 : 635,485.41 = 196,201.50 : x
  2. Step 2: Convert to fraction form
    424,229.82/635,485.41 = 196,201.50/x
  3. Step 3: Cross multiply
    424,229.82x = 635,485.41 × 196,201.50
  4. Step 4: Simplify right side
    424,229.82x = 124,683,190,670.12
  5. Step 5: Solve for x
    x = 124,683,190,670.12/424,229.82
  6. Step 6: Final answer
    x = 293,904.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.