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Finding the Fourth Proportional to 344,961.40, 476,046.06 and 194,058.52

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Solution

The fourth proportional to 344,961.40, 476,046.06 and 194,058.52 is: 267,800.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,961.40 : 476,046.06 = 194,058.52 : x
  2. Step 2: Convert to fraction form
    344,961.40/476,046.06 = 194,058.52/x
  3. Step 3: Cross multiply
    344,961.40x = 476,046.06 × 194,058.52
  4. Step 4: Simplify right side
    344,961.40x = 92,380,793,855.43
  5. Step 5: Solve for x
    x = 92,380,793,855.43/344,961.40
  6. Step 6: Final answer
    x = 267,800.38

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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.