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Finding the Fourth Proportional to 356,076, 491,385.96 and 194,932.44

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Solution

The fourth proportional to 356,076, 491,385.96 and 194,932.44 is: 269,007.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,076 : 491,385.96 = 194,932.44 : x
  2. Step 2: Convert to fraction form
    356,076/491,385.96 = 194,932.44/x
  3. Step 3: Cross multiply
    356,076x = 491,385.96 × 194,932.44
  4. Step 4: Simplify right side
    356,076x = 95,787,064,164.54
  5. Step 5: Solve for x
    x = 95,787,064,164.54/356,076
  6. Step 6: Final answer
    x = 269,007.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.