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Finding the Fourth Proportional to 416,238, 624,455.42 and 135,755.25

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Solution

The fourth proportional to 416,238, 624,455.42 and 135,755.25 is: 203,664.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,238 : 624,455.42 = 135,755.25 : x
  2. Step 2: Convert to fraction form
    416,238/624,455.42 = 135,755.25/x
  3. Step 3: Cross multiply
    416,238x = 624,455.42 × 135,755.25
  4. Step 4: Simplify right side
    416,238x = 84,773,100,977.18
  5. Step 5: Solve for x
    x = 84,773,100,977.18/416,238
  6. Step 6: Final answer
    x = 203,664.97

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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.