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Finding the Fourth Proportional to 320,338.26, 442,028.34 and 177,078.69

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Solution

The fourth proportional to 320,338.26, 442,028.34 and 177,078.69 is: 244,347.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,338.26 : 442,028.34 = 177,078.69 : x
  2. Step 2: Convert to fraction form
    320,338.26/442,028.34 = 177,078.69/x
  3. Step 3: Cross multiply
    320,338.26x = 442,028.34 × 177,078.69
  4. Step 4: Simplify right side
    320,338.26x = 78,273,799,390.07
  5. Step 5: Solve for x
    x = 78,273,799,390.07/320,338.26
  6. Step 6: Final answer
    x = 244,347.33

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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.