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Finding the Fourth Proportional to 447,563.28, 617,619.15 and 256,443.78

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Solution

The fourth proportional to 447,563.28, 617,619.15 and 256,443.78 is: 353,882.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,563.28 : 617,619.15 = 256,443.78 : x
  2. Step 2: Convert to fraction form
    447,563.28/617,619.15 = 256,443.78/x
  3. Step 3: Cross multiply
    447,563.28x = 617,619.15 × 256,443.78
  4. Step 4: Simplify right side
    447,563.28x = 158,384,589,426.39
  5. Step 5: Solve for x
    x = 158,384,589,426.39/447,563.28
  6. Step 6: Final answer
    x = 353,882.00

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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.