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Finding the Fourth Proportional to 411,024.20, 617,169.90 and 224,400.20

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Solution

The fourth proportional to 411,024.20, 617,169.90 and 224,400.20 is: 336,946.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,024.20 : 617,169.90 = 224,400.20 : x
  2. Step 2: Convert to fraction form
    411,024.20/617,169.90 = 224,400.20/x
  3. Step 3: Cross multiply
    411,024.20x = 617,169.90 × 224,400.20
  4. Step 4: Simplify right side
    411,024.20x = 138,493,048,993.98
  5. Step 5: Solve for x
    x = 138,493,048,993.98/411,024.20
  6. Step 6: Final answer
    x = 336,946.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.