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Finding the Fourth Proportional to 422,696.23, 583,361.17 and 241,435.24

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Solution

The fourth proportional to 422,696.23, 583,361.17 and 241,435.24 is: 333,203.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,696.23 : 583,361.17 = 241,435.24 : x
  2. Step 2: Convert to fraction form
    422,696.23/583,361.17 = 241,435.24/x
  3. Step 3: Cross multiply
    422,696.23x = 583,361.17 × 241,435.24
  4. Step 4: Simplify right side
    422,696.23x = 140,843,942,023.64
  5. Step 5: Solve for x
    x = 140,843,942,023.64/422,696.23
  6. Step 6: Final answer
    x = 333,203.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.