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Finding the Fourth Proportional to 418,481.75, 627,722.93 and 137,999

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Solution

The fourth proportional to 418,481.75, 627,722.93 and 137,999 is: 206,998.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,481.75 : 627,722.93 = 137,999 : x
  2. Step 2: Convert to fraction form
    418,481.75/627,722.93 = 137,999/x
  3. Step 3: Cross multiply
    418,481.75x = 627,722.93 × 137,999
  4. Step 4: Simplify right side
    418,481.75x = 86,625,136,617.07
  5. Step 5: Solve for x
    x = 86,625,136,617.07/418,481.75
  6. Step 6: Final answer
    x = 206,998.60

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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.