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Finding the Fourth Proportional to 659,198.56, 988,892.56 and 203,825.28

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Solution

The fourth proportional to 659,198.56, 988,892.56 and 203,825.28 is: 305,767.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,198.56 : 988,892.56 = 203,825.28 : x
  2. Step 2: Convert to fraction form
    659,198.56/988,892.56 = 203,825.28/x
  3. Step 3: Cross multiply
    659,198.56x = 988,892.56 × 203,825.28
  4. Step 4: Simplify right side
    659,198.56x = 201,561,302,931.92
  5. Step 5: Solve for x
    x = 201,561,302,931.92/659,198.56
  6. Step 6: Final answer
    x = 305,767.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.