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Finding the Fourth Proportional to 361,321.62, 498,583.42 and 200,136.66

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Solution

The fourth proportional to 361,321.62, 498,583.42 and 200,136.66 is: 276,166.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,321.62 : 498,583.42 = 200,136.66 : x
  2. Step 2: Convert to fraction form
    361,321.62/498,583.42 = 200,136.66/x
  3. Step 3: Cross multiply
    361,321.62x = 498,583.42 × 200,136.66
  4. Step 4: Simplify right side
    361,321.62x = 99,784,820,410.18
  5. Step 5: Solve for x
    x = 99,784,820,410.18/361,321.62
  6. Step 6: Final answer
    x = 276,166.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.