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Finding the Fourth Proportional to 411,183.20, 617,811.60 and 261,495.20

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Solution

The fourth proportional to 411,183.20, 617,811.60 and 261,495.20 is: 392,902.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,183.20 : 617,811.60 = 261,495.20 : x
  2. Step 2: Convert to fraction form
    411,183.20/617,811.60 = 261,495.20/x
  3. Step 3: Cross multiply
    411,183.20x = 617,811.60 × 261,495.20
  4. Step 4: Simplify right side
    411,183.20x = 161,554,767,904.32
  5. Step 5: Solve for x
    x = 161,554,767,904.32/411,183.20
  6. Step 6: Final answer
    x = 392,902.16

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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.