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Finding the Fourth Proportional to 419,084.26, 627,625.82 and 241,217.36

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Solution

The fourth proportional to 419,084.26, 627,625.82 and 241,217.36 is: 361,250.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,084.26 : 627,625.82 = 241,217.36 : x
  2. Step 2: Convert to fraction form
    419,084.26/627,625.82 = 241,217.36/x
  3. Step 3: Cross multiply
    419,084.26x = 627,625.82 × 241,217.36
  4. Step 4: Simplify right side
    419,084.26x = 151,394,243,368.24
  5. Step 5: Solve for x
    x = 151,394,243,368.24/419,084.26
  6. Step 6: Final answer
    x = 361,250.13

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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.