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Finding the Fourth Proportional to 411,732.44, 617,170.47 and 159,186.39

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Solution

The fourth proportional to 411,732.44, 617,170.47 and 159,186.39 is: 238,614.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,732.44 : 617,170.47 = 159,186.39 : x
  2. Step 2: Convert to fraction form
    411,732.44/617,170.47 = 159,186.39/x
  3. Step 3: Cross multiply
    411,732.44x = 617,170.47 × 159,186.39
  4. Step 4: Simplify right side
    411,732.44x = 98,245,139,133.90
  5. Step 5: Solve for x
    x = 98,245,139,133.90/411,732.44
  6. Step 6: Final answer
    x = 238,614.04

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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.