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Finding the Fourth Proportional to 411,369.60, 617,099.76 and 130,821.24

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Solution

The fourth proportional to 411,369.60, 617,099.76 and 130,821.24 is: 196,246.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,369.60 : 617,099.76 = 130,821.24 : x
  2. Step 2: Convert to fraction form
    411,369.60/617,099.76 = 130,821.24/x
  3. Step 3: Cross multiply
    411,369.60x = 617,099.76 × 130,821.24
  4. Step 4: Simplify right side
    411,369.60x = 80,729,755,806.90
  5. Step 5: Solve for x
    x = 80,729,755,806.90/411,369.60
  6. Step 6: Final answer
    x = 196,246.29

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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.