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Finding the Fourth Proportional to 447,722.38, 617,900.48 and 334,348.30

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Solution

The fourth proportional to 447,722.38, 617,900.48 and 334,348.30 is: 461,433.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,722.38 : 617,900.48 = 334,348.30 : x
  2. Step 2: Convert to fraction form
    447,722.38/617,900.48 = 334,348.30/x
  3. Step 3: Cross multiply
    447,722.38x = 617,900.48 × 334,348.30
  4. Step 4: Simplify right side
    447,722.38x = 206,593,975,057.18
  5. Step 5: Solve for x
    x = 206,593,975,057.18/447,722.38
  6. Step 6: Final answer
    x = 461,433.21

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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.