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Finding the Fourth Proportional to 485,136.30, 727,704.45 and 219,024.30

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Solution

The fourth proportional to 485,136.30, 727,704.45 and 219,024.30 is: 328,536.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,136.30 : 727,704.45 = 219,024.30 : x
  2. Step 2: Convert to fraction form
    485,136.30/727,704.45 = 219,024.30/x
  3. Step 3: Cross multiply
    485,136.30x = 727,704.45 × 219,024.30
  4. Step 4: Simplify right side
    485,136.30x = 159,384,957,768.14
  5. Step 5: Solve for x
    x = 159,384,957,768.14/485,136.30
  6. Step 6: Final answer
    x = 328,536.45

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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.