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Finding the Fourth Proportional to 361,803.31, 499,305.24 and 200,648.76

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Solution

The fourth proportional to 361,803.31, 499,305.24 and 200,648.76 is: 276,904.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,803.31 : 499,305.24 = 200,648.76 : x
  2. Step 2: Convert to fraction form
    361,803.31/499,305.24 = 200,648.76/x
  3. Step 3: Cross multiply
    361,803.31x = 499,305.24 × 200,648.76
  4. Step 4: Simplify right side
    361,803.31x = 100,184,973,767.73
  5. Step 5: Solve for x
    x = 100,184,973,767.73/361,803.31
  6. Step 6: Final answer
    x = 276,904.53

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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.