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Finding the Fourth Proportional to 447,644.88, 617,794.56 and 334,270.80

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Solution

The fourth proportional to 447,644.88, 617,794.56 and 334,270.80 is: 461,327.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,644.88 : 617,794.56 = 334,270.80 : x
  2. Step 2: Convert to fraction form
    447,644.88/617,794.56 = 334,270.80/x
  3. Step 3: Cross multiply
    447,644.88x = 617,794.56 × 334,270.80
  4. Step 4: Simplify right side
    447,644.88x = 206,510,681,806.85
  5. Step 5: Solve for x
    x = 206,510,681,806.85/447,644.88
  6. Step 6: Final answer
    x = 461,327.03

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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.