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Finding the Fourth Proportional to 541,076.26, 746,924.39 and 323,361.74

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Solution

The fourth proportional to 541,076.26, 746,924.39 and 323,361.74 is: 446,382.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,076.26 : 746,924.39 = 323,361.74 : x
  2. Step 2: Convert to fraction form
    541,076.26/746,924.39 = 323,361.74/x
  3. Step 3: Cross multiply
    541,076.26x = 746,924.39 × 323,361.74
  4. Step 4: Simplify right side
    541,076.26x = 241,526,770,398.84
  5. Step 5: Solve for x
    x = 241,526,770,398.84/541,076.26
  6. Step 6: Final answer
    x = 446,382.12

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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.