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Finding the Fourth Proportional to 394,880.10, 544,932.42 and 213,591.84

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Solution

The fourth proportional to 394,880.10, 544,932.42 and 213,591.84 is: 294,755.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,880.10 : 544,932.42 = 213,591.84 : x
  2. Step 2: Convert to fraction form
    394,880.10/544,932.42 = 213,591.84/x
  3. Step 3: Cross multiply
    394,880.10x = 544,932.42 × 213,591.84
  4. Step 4: Simplify right side
    394,880.10x = 116,393,118,263.45
  5. Step 5: Solve for x
    x = 116,393,118,263.45/394,880.10
  6. Step 6: Final answer
    x = 294,755.59

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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.