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Finding the Fourth Proportional to 394,795.28, 544,815.92 and 213,507.41

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Solution

The fourth proportional to 394,795.28, 544,815.92 and 213,507.41 is: 294,639.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,795.28 : 544,815.92 = 213,507.41 : x
  2. Step 2: Convert to fraction form
    394,795.28/544,815.92 = 213,507.41/x
  3. Step 3: Cross multiply
    394,795.28x = 544,815.92 × 213,507.41
  4. Step 4: Simplify right side
    394,795.28x = 116,322,236,880.25
  5. Step 5: Solve for x
    x = 116,322,236,880.25/394,795.28
  6. Step 6: Final answer
    x = 294,639.38

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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.