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Finding the Fourth Proportional to 447,646.88, 617,797.32 and 334,272.80

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Solution

The fourth proportional to 447,646.88, 617,797.32 and 334,272.80 is: 461,329.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,646.88 : 617,797.32 = 334,272.80 : x
  2. Step 2: Convert to fraction form
    447,646.88/617,797.32 = 334,272.80/x
  3. Step 3: Cross multiply
    447,646.88x = 617,797.32 × 334,272.80
  4. Step 4: Simplify right side
    447,646.88x = 206,512,839,988.90
  5. Step 5: Solve for x
    x = 206,512,839,988.90/447,646.88
  6. Step 6: Final answer
    x = 461,329.79

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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.