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Finding the Fourth Proportional to 541,940.64, 747,963.36 and 327,111.36

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Solution

The fourth proportional to 541,940.64, 747,963.36 and 327,111.36 is: 451,465.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,940.64 : 747,963.36 = 327,111.36 : x
  2. Step 2: Convert to fraction form
    541,940.64/747,963.36 = 327,111.36/x
  3. Step 3: Cross multiply
    541,940.64x = 747,963.36 × 327,111.36
  4. Step 4: Simplify right side
    541,940.64x = 244,667,311,919.77
  5. Step 5: Solve for x
    x = 244,667,311,919.77/541,940.64
  6. Step 6: Final answer
    x = 451,465.15

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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.