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Finding the Fourth Proportional to 411,246.40, 617,791.20 and 394,452.80

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Solution

The fourth proportional to 411,246.40, 617,791.20 and 394,452.80 is: 592,563.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,246.40 : 617,791.20 = 394,452.80 : x
  2. Step 2: Convert to fraction form
    411,246.40/617,791.20 = 394,452.80/x
  3. Step 3: Cross multiply
    411,246.40x = 617,791.20 × 394,452.80
  4. Step 4: Simplify right side
    411,246.40x = 243,689,468,655.36
  5. Step 5: Solve for x
    x = 243,689,468,655.36/411,246.40
  6. Step 6: Final answer
    x = 592,563.17

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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.