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Finding the Fourth Proportional to 411,142.94, 616,755.46 and 111,628.34

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Solution

The fourth proportional to 411,142.94, 616,755.46 and 111,628.34 is: 167,453.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,142.94 : 616,755.46 = 111,628.34 : x
  2. Step 2: Convert to fraction form
    411,142.94/616,755.46 = 111,628.34/x
  3. Step 3: Cross multiply
    411,142.94x = 616,755.46 × 111,628.34
  4. Step 4: Simplify right side
    411,142.94x = 68,847,388,185.74
  5. Step 5: Solve for x
    x = 68,847,388,185.74/411,142.94
  6. Step 6: Final answer
    x = 167,453.66

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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.