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Finding the Fourth Proportional to 327,136.40, 490,704.60 and 201,165.20

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Solution

The fourth proportional to 327,136.40, 490,704.60 and 201,165.20 is: 301,747.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,136.40 : 490,704.60 = 201,165.20 : x
  2. Step 2: Convert to fraction form
    327,136.40/490,704.60 = 201,165.20/x
  3. Step 3: Cross multiply
    327,136.40x = 490,704.60 × 201,165.20
  4. Step 4: Simplify right side
    327,136.40x = 98,712,688,999.92
  5. Step 5: Solve for x
    x = 98,712,688,999.92/327,136.40
  6. Step 6: Final answer
    x = 301,747.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.