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Finding the Fourth Proportional to 363,709.90, 501,900.13 and 200,361.05

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Solution

The fourth proportional to 363,709.90, 501,900.13 and 200,361.05 is: 276,487.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,709.90 : 501,900.13 = 200,361.05 : x
  2. Step 2: Convert to fraction form
    363,709.90/501,900.13 = 200,361.05/x
  3. Step 3: Cross multiply
    363,709.90x = 501,900.13 × 200,361.05
  4. Step 4: Simplify right side
    363,709.90x = 100,561,236,040.13
  5. Step 5: Solve for x
    x = 100,561,236,040.13/363,709.90
  6. Step 6: Final answer
    x = 276,487.49

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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.