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Finding the Fourth Proportional to 200,474.28, 300,757.80 and 58,322.88

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Solution

The fourth proportional to 200,474.28, 300,757.80 and 58,322.88 is: 87,497.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,474.28 : 300,757.80 = 58,322.88 : x
  2. Step 2: Convert to fraction form
    200,474.28/300,757.80 = 58,322.88/x
  3. Step 3: Cross multiply
    200,474.28x = 300,757.80 × 58,322.88
  4. Step 4: Simplify right side
    200,474.28x = 17,541,061,078.46
  5. Step 5: Solve for x
    x = 17,541,061,078.46/200,474.28
  6. Step 6: Final answer
    x = 87,497.81

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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.