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Finding the Fourth Proportional to 320,297.67, 441,993.43 and 177,048.49

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Solution

The fourth proportional to 320,297.67, 441,993.43 and 177,048.49 is: 244,317.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,297.67 : 441,993.43 = 177,048.49 : x
  2. Step 2: Convert to fraction form
    320,297.67/441,993.43 = 177,048.49/x
  3. Step 3: Cross multiply
    320,297.67x = 441,993.43 × 177,048.49
  4. Step 4: Simplify right side
    320,297.67x = 78,254,269,371.42
  5. Step 5: Solve for x
    x = 78,254,269,371.42/320,297.67
  6. Step 6: Final answer
    x = 244,317.32

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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.