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Finding the Fourth Proportional to 411,356.80, 617,035.20 and 405,827.20

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Solution

The fourth proportional to 411,356.80, 617,035.20 and 405,827.20 is: 608,740.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,356.80 : 617,035.20 = 405,827.20 : x
  2. Step 2: Convert to fraction form
    411,356.80/617,035.20 = 405,827.20/x
  3. Step 3: Cross multiply
    411,356.80x = 617,035.20 × 405,827.20
  4. Step 4: Simplify right side
    411,356.80x = 250,409,667,517.44
  5. Step 5: Solve for x
    x = 250,409,667,517.44/411,356.80
  6. Step 6: Final answer
    x = 608,740.80

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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.