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Finding the Fourth Proportional to 411,836.28, 617,609.64 and 123,561.97

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Solution

The fourth proportional to 411,836.28, 617,609.64 and 123,561.97 is: 185,299.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,836.28 : 617,609.64 = 123,561.97 : x
  2. Step 2: Convert to fraction form
    411,836.28/617,609.64 = 123,561.97/x
  3. Step 3: Cross multiply
    411,836.28x = 617,609.64 × 123,561.97
  4. Step 4: Simplify right side
    411,836.28x = 76,313,062,728.72
  5. Step 5: Solve for x
    x = 76,313,062,728.72/411,836.28
  6. Step 6: Final answer
    x = 185,299.52

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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.