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Finding the Fourth Proportional to 643,442.57, 965,171.28 and 194,167.33

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Solution

The fourth proportional to 643,442.57, 965,171.28 and 194,167.33 is: 291,253.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,442.57 : 965,171.28 = 194,167.33 : x
  2. Step 2: Convert to fraction form
    643,442.57/965,171.28 = 194,167.33/x
  3. Step 3: Cross multiply
    643,442.57x = 965,171.28 × 194,167.33
  4. Step 4: Simplify right side
    643,442.57x = 187,404,728,472.43
  5. Step 5: Solve for x
    x = 187,404,728,472.43/643,442.57
  6. Step 6: Final answer
    x = 291,253.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.