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Finding the Fourth Proportional to 361,738.56, 499,203.52 and 200,595.68

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Solution

The fourth proportional to 361,738.56, 499,203.52 and 200,595.68 is: 276,824.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,738.56 : 499,203.52 = 200,595.68 : x
  2. Step 2: Convert to fraction form
    361,738.56/499,203.52 = 200,595.68/x
  3. Step 3: Cross multiply
    361,738.56x = 499,203.52 × 200,595.68
  4. Step 4: Simplify right side
    361,738.56x = 100,138,069,552.79
  5. Step 5: Solve for x
    x = 100,138,069,552.79/361,738.56
  6. Step 6: Final answer
    x = 276,824.43

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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.