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Finding the Fourth Proportional to 320,424.54, 442,177.11 and 177,179.69

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Solution

The fourth proportional to 320,424.54, 442,177.11 and 177,179.69 is: 244,503.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,424.54 : 442,177.11 = 177,179.69 : x
  2. Step 2: Convert to fraction form
    320,424.54/442,177.11 = 177,179.69/x
  3. Step 3: Cross multiply
    320,424.54x = 442,177.11 × 177,179.69
  4. Step 4: Simplify right side
    320,424.54x = 78,344,801,064.01
  5. Step 5: Solve for x
    x = 78,344,801,064.01/320,424.54
  6. Step 6: Final answer
    x = 244,503.12

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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.