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Finding the Fourth Proportional to 401,293.97, 602,003.23 and 135,033.73

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Solution

The fourth proportional to 401,293.97, 602,003.23 and 135,033.73 is: 202,571.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,293.97 : 602,003.23 = 135,033.73 : x
  2. Step 2: Convert to fraction form
    401,293.97/602,003.23 = 135,033.73/x
  3. Step 3: Cross multiply
    401,293.97x = 602,003.23 × 135,033.73
  4. Step 4: Simplify right side
    401,293.97x = 81,290,741,618.95
  5. Step 5: Solve for x
    x = 81,290,741,618.95/401,293.97
  6. Step 6: Final answer
    x = 202,571.55

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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.