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Finding the Fourth Proportional to 411,168.75, 616,843.85 and 174,713.55

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Solution

The fourth proportional to 411,168.75, 616,843.85 and 174,713.55 is: 262,108.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,168.75 : 616,843.85 = 174,713.55 : x
  2. Step 2: Convert to fraction form
    411,168.75/616,843.85 = 174,713.55/x
  3. Step 3: Cross multiply
    411,168.75x = 616,843.85 × 174,713.55
  4. Step 4: Simplify right side
    411,168.75x = 107,770,977,955.60
  5. Step 5: Solve for x
    x = 107,770,977,955.60/411,168.75
  6. Step 6: Final answer
    x = 262,108.87

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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.