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Finding the Fourth Proportional to 320,395.82, 442,128.39 and 177,147.26

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Solution

The fourth proportional to 320,395.82, 442,128.39 and 177,147.26 is: 244,453.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,395.82 : 442,128.39 = 177,147.26 : x
  2. Step 2: Convert to fraction form
    320,395.82/442,128.39 = 177,147.26/x
  3. Step 3: Cross multiply
    320,395.82x = 442,128.39 × 177,147.26
  4. Step 4: Simplify right side
    320,395.82x = 78,321,832,856.71
  5. Step 5: Solve for x
    x = 78,321,832,856.71/320,395.82
  6. Step 6: Final answer
    x = 244,453.35

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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.