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Finding the Fourth Proportional to 411,731.44, 617,168.97 and 159,185.39

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Solution

The fourth proportional to 411,731.44, 617,168.97 and 159,185.39 is: 238,612.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,731.44 : 617,168.97 = 159,185.39 : x
  2. Step 2: Convert to fraction form
    411,731.44/617,168.97 = 159,185.39/x
  3. Step 3: Cross multiply
    411,731.44x = 617,168.97 × 159,185.39
  4. Step 4: Simplify right side
    411,731.44x = 98,244,280,099.50
  5. Step 5: Solve for x
    x = 98,244,280,099.50/411,731.44
  6. Step 6: Final answer
    x = 238,612.53

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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.