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Finding the Fourth Proportional to 361,640.13, 499,062.54 and 200,491.02

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Solution

The fourth proportional to 361,640.13, 499,062.54 and 200,491.02 is: 276,677.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,640.13 : 499,062.54 = 200,491.02 : x
  2. Step 2: Convert to fraction form
    361,640.13/499,062.54 = 200,491.02/x
  3. Step 3: Cross multiply
    361,640.13x = 499,062.54 × 200,491.02
  4. Step 4: Simplify right side
    361,640.13x = 100,057,557,688.39
  5. Step 5: Solve for x
    x = 100,057,557,688.39/361,640.13
  6. Step 6: Final answer
    x = 276,677.14

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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.