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Finding the Fourth Proportional to 320,259, 441,958.14 and 192,939.96

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Solution

The fourth proportional to 320,259, 441,958.14 and 192,939.96 is: 266,257.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,259 : 441,958.14 = 192,939.96 : x
  2. Step 2: Convert to fraction form
    320,259/441,958.14 = 192,939.96/x
  3. Step 3: Cross multiply
    320,259x = 441,958.14 × 192,939.96
  4. Step 4: Simplify right side
    320,259x = 85,271,385,853.27
  5. Step 5: Solve for x
    x = 85,271,385,853.27/320,259
  6. Step 6: Final answer
    x = 266,257.58

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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.