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Finding the Fourth Proportional to 320,959.82, 442,938.36 and 177,719.76

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Solution

The fourth proportional to 320,959.82, 442,938.36 and 177,719.76 is: 245,260.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,959.82 : 442,938.36 = 177,719.76 : x
  2. Step 2: Convert to fraction form
    320,959.82/442,938.36 = 177,719.76/x
  3. Step 3: Cross multiply
    320,959.82x = 442,938.36 × 177,719.76
  4. Step 4: Simplify right side
    320,959.82x = 78,718,899,033.99
  5. Step 5: Solve for x
    x = 78,718,899,033.99/320,959.82
  6. Step 6: Final answer
    x = 245,260.92

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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.