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Finding the Fourth Proportional to 446,757.90, 670,469.10 and 180,520.71

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Solution

The fourth proportional to 446,757.90, 670,469.10 and 180,520.71 is: 270,915.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,757.90 : 670,469.10 = 180,520.71 : x
  2. Step 2: Convert to fraction form
    446,757.90/670,469.10 = 180,520.71/x
  3. Step 3: Cross multiply
    446,757.90x = 670,469.10 × 180,520.71
  4. Step 4: Simplify right side
    446,757.90x = 121,033,557,965.06
  5. Step 5: Solve for x
    x = 121,033,557,965.06/446,757.90
  6. Step 6: Final answer
    x = 270,915.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.