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Finding the Fourth Proportional to 447,729.63, 617,910.48 and 334,355.55

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Solution

The fourth proportional to 447,729.63, 617,910.48 and 334,355.55 is: 461,443.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,729.63 : 617,910.48 = 334,355.55 : x
  2. Step 2: Convert to fraction form
    447,729.63/617,910.48 = 334,355.55/x
  3. Step 3: Cross multiply
    447,729.63x = 617,910.48 × 334,355.55
  4. Step 4: Simplify right side
    447,729.63x = 206,601,798,391.16
  5. Step 5: Solve for x
    x = 206,601,798,391.16/447,729.63
  6. Step 6: Final answer
    x = 461,443.21

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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.