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Finding the Fourth Proportional to 447,722.13, 617,900.13 and 334,348.05

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Solution

The fourth proportional to 447,722.13, 617,900.13 and 334,348.05 is: 461,432.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,722.13 : 617,900.13 = 334,348.05 : x
  2. Step 2: Convert to fraction form
    447,722.13/617,900.13 = 334,348.05/x
  3. Step 3: Cross multiply
    447,722.13x = 617,900.13 × 334,348.05
  4. Step 4: Simplify right side
    447,722.13x = 206,593,703,560.25
  5. Step 5: Solve for x
    x = 206,593,703,560.25/447,722.13
  6. Step 6: Final answer
    x = 461,432.86

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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.