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Finding the Fourth Proportional to 320,431.88, 442,198.86 and 177,201.56

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Solution

The fourth proportional to 320,431.88, 442,198.86 and 177,201.56 is: 244,539.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,431.88 : 442,198.86 = 177,201.56 : x
  2. Step 2: Convert to fraction form
    320,431.88/442,198.86 = 177,201.56/x
  3. Step 3: Cross multiply
    320,431.88x = 442,198.86 × 177,201.56
  4. Step 4: Simplify right side
    320,431.88x = 78,358,327,822.22
  5. Step 5: Solve for x
    x = 78,358,327,822.22/320,431.88
  6. Step 6: Final answer
    x = 244,539.74

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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.