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Finding the Fourth Proportional to 320,188.49, 441,861.49 and 174,997.20

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Solution

The fourth proportional to 320,188.49, 441,861.49 and 174,997.20 is: 241,496.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,188.49 : 441,861.49 = 174,997.20 : x
  2. Step 2: Convert to fraction form
    320,188.49/441,861.49 = 174,997.20/x
  3. Step 3: Cross multiply
    320,188.49x = 441,861.49 × 174,997.20
  4. Step 4: Simplify right side
    320,188.49x = 77,324,523,537.83
  5. Step 5: Solve for x
    x = 77,324,523,537.83/320,188.49
  6. Step 6: Final answer
    x = 241,496.89

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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.