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Finding the Fourth Proportional to 344,947.50, 476,027.43 and 194,044.50

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Solution

The fourth proportional to 344,947.50, 476,027.43 and 194,044.50 is: 267,781.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,947.50 : 476,027.43 = 194,044.50 : x
  2. Step 2: Convert to fraction form
    344,947.50/476,027.43 = 194,044.50/x
  3. Step 3: Cross multiply
    344,947.50x = 476,027.43 × 194,044.50
  4. Step 4: Simplify right side
    344,947.50x = 92,370,504,640.64
  5. Step 5: Solve for x
    x = 92,370,504,640.64/344,947.50
  6. Step 6: Final answer
    x = 267,781.34

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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.