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Finding the Fourth Proportional to 320,580.75, 442,363.16 and 177,321.32

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Solution

The fourth proportional to 320,580.75, 442,363.16 and 177,321.32 is: 244,682.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,580.75 : 442,363.16 = 177,321.32 : x
  2. Step 2: Convert to fraction form
    320,580.75/442,363.16 = 177,321.32/x
  3. Step 3: Cross multiply
    320,580.75x = 442,363.16 × 177,321.32
  4. Step 4: Simplify right side
    320,580.75x = 78,440,416,352.15
  5. Step 5: Solve for x
    x = 78,440,416,352.15/320,580.75
  6. Step 6: Final answer
    x = 244,682.24

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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.