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Finding the Fourth Proportional to 361,712.25, 499,168.99 and 200,574.01

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Solution

The fourth proportional to 361,712.25, 499,168.99 and 200,574.01 is: 276,795.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,712.25 : 499,168.99 = 200,574.01 : x
  2. Step 2: Convert to fraction form
    361,712.25/499,168.99 = 200,574.01/x
  3. Step 3: Cross multiply
    361,712.25x = 499,168.99 × 200,574.01
  4. Step 4: Simplify right side
    361,712.25x = 100,120,324,989.08
  5. Step 5: Solve for x
    x = 100,120,324,989.08/361,712.25
  6. Step 6: Final answer
    x = 276,795.51

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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.