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Finding the Fourth Proportional to 320,959.97, 442,919.34 and 177,716.94

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Solution

The fourth proportional to 320,959.97, 442,919.34 and 177,716.94 is: 245,246.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,959.97 : 442,919.34 = 177,716.94 : x
  2. Step 2: Convert to fraction form
    320,959.97/442,919.34 = 177,716.94/x
  3. Step 3: Cross multiply
    320,959.97x = 442,919.34 × 177,716.94
  4. Step 4: Simplify right side
    320,959.97x = 78,714,268,110.67
  5. Step 5: Solve for x
    x = 78,714,268,110.67/320,959.97
  6. Step 6: Final answer
    x = 245,246.37

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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.