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Finding the Fourth Proportional to 447,694.34, 617,841 and 254,115.68

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Solution

The fourth proportional to 447,694.34, 617,841 and 254,115.68 is: 350,692.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,694.34 : 617,841 = 254,115.68 : x
  2. Step 2: Convert to fraction form
    447,694.34/617,841 = 254,115.68/x
  3. Step 3: Cross multiply
    447,694.34x = 617,841 × 254,115.68
  4. Step 4: Simplify right side
    447,694.34x = 157,003,082,757.68
  5. Step 5: Solve for x
    x = 157,003,082,757.68/447,694.34
  6. Step 6: Final answer
    x = 350,692.58

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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.