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Finding the Fourth Proportional to 447,698.22, 617,882.49 and 256,674.30

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Solution

The fourth proportional to 447,698.22, 617,882.49 and 256,674.30 is: 354,244.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,698.22 : 617,882.49 = 256,674.30 : x
  2. Step 2: Convert to fraction form
    447,698.22/617,882.49 = 256,674.30/x
  3. Step 3: Cross multiply
    447,698.22x = 617,882.49 × 256,674.30
  4. Step 4: Simplify right side
    447,698.22x = 158,594,555,603.01
  5. Step 5: Solve for x
    x = 158,594,555,603.01/447,698.22
  6. Step 6: Final answer
    x = 354,244.33

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1.5x scale

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.