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Finding the Fourth Proportional to 424,230.82, 635,486.91 and 196,202.50

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Solution

The fourth proportional to 424,230.82, 635,486.91 and 196,202.50 is: 293,906.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,230.82 : 635,486.91 = 196,202.50 : x
  2. Step 2: Convert to fraction form
    424,230.82/635,486.91 = 196,202.50/x
  3. Step 3: Cross multiply
    424,230.82x = 635,486.91 × 196,202.50
  4. Step 4: Simplify right side
    424,230.82x = 124,684,120,459.28
  5. Step 5: Solve for x
    x = 124,684,120,459.28/424,230.82
  6. Step 6: Final answer
    x = 293,906.32

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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.