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Finding the Fourth Proportional to 411,491.70, 617,175.18 and 111,995.64

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Solution

The fourth proportional to 411,491.70, 617,175.18 and 111,995.64 is: 167,976.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,491.70 : 617,175.18 = 111,995.64 : x
  2. Step 2: Convert to fraction form
    411,491.70/617,175.18 = 111,995.64/x
  3. Step 3: Cross multiply
    411,491.70x = 617,175.18 × 111,995.64
  4. Step 4: Simplify right side
    411,491.70x = 69,120,929,276.22
  5. Step 5: Solve for x
    x = 69,120,929,276.22/411,491.70
  6. Step 6: Final answer
    x = 167,976.48

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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.