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Finding the Fourth Proportional to 356,082, 491,394.24 and 194,938.44

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Solution

The fourth proportional to 356,082, 491,394.24 and 194,938.44 is: 269,015.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,082 : 491,394.24 = 194,938.44 : x
  2. Step 2: Convert to fraction form
    356,082/491,394.24 = 194,938.44/x
  3. Step 3: Cross multiply
    356,082x = 491,394.24 × 194,938.44
  4. Step 4: Simplify right side
    356,082x = 95,791,626,570.59
  5. Step 5: Solve for x
    x = 95,791,626,570.59/356,082
  6. Step 6: Final answer
    x = 269,015.64

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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.