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Finding the Fourth Proportional to 361,229.72, 498,497.00 and 200,095.20

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Solution

The fourth proportional to 361,229.72, 498,497.00 and 200,095.20 is: 276,131.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,229.72 : 498,497.00 = 200,095.20 : x
  2. Step 2: Convert to fraction form
    361,229.72/498,497.00 = 200,095.20/x
  3. Step 3: Cross multiply
    361,229.72x = 498,497.00 × 200,095.20
  4. Step 4: Simplify right side
    361,229.72x = 99,746,855,913.92
  5. Step 5: Solve for x
    x = 99,746,855,913.92/361,229.72
  6. Step 6: Final answer
    x = 276,131.37

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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.