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Finding the Fourth Proportional to 411,372.80, 617,059.20 and 405,843.20

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Solution

The fourth proportional to 411,372.80, 617,059.20 and 405,843.20 is: 608,764.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,372.80 : 617,059.20 = 405,843.20 : x
  2. Step 2: Convert to fraction form
    411,372.80/617,059.20 = 405,843.20/x
  3. Step 3: Cross multiply
    411,372.80x = 617,059.20 × 405,843.20
  4. Step 4: Simplify right side
    411,372.80x = 250,429,280,317.44
  5. Step 5: Solve for x
    x = 250,429,280,317.44/411,372.80
  6. Step 6: Final answer
    x = 608,764.80

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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.