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Finding the Fourth Proportional to 344,963.12, 476,114.80 and 194,060.12

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Solution

The fourth proportional to 344,963.12, 476,114.80 and 194,060.12 is: 267,839.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,963.12 : 476,114.80 = 194,060.12 : x
  2. Step 2: Convert to fraction form
    344,963.12/476,114.80 = 194,060.12/x
  3. Step 3: Cross multiply
    344,963.12x = 476,114.80 × 194,060.12
  4. Step 4: Simplify right side
    344,963.12x = 92,394,895,221.78
  5. Step 5: Solve for x
    x = 92,394,895,221.78/344,963.12
  6. Step 6: Final answer
    x = 267,839.92

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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.