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Finding the Fourth Proportional to 320,591.96, 442,433.04 and 193,308.56

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Solution

The fourth proportional to 320,591.96, 442,433.04 and 193,308.56 is: 266,775.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,591.96 : 442,433.04 = 193,308.56 : x
  2. Step 2: Convert to fraction form
    320,591.96/442,433.04 = 193,308.56/x
  3. Step 3: Cross multiply
    320,591.96x = 442,433.04 × 193,308.56
  4. Step 4: Simplify right side
    320,591.96x = 85,526,093,858.82
  5. Step 5: Solve for x
    x = 85,526,093,858.82/320,591.96
  6. Step 6: Final answer
    x = 266,775.54

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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.