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Finding the Fourth Proportional to 411,166.75, 616,840.85 and 174,711.55

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Solution

The fourth proportional to 411,166.75, 616,840.85 and 174,711.55 is: 262,105.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,166.75 : 616,840.85 = 174,711.55 : x
  2. Step 2: Convert to fraction form
    411,166.75/616,840.85 = 174,711.55/x
  3. Step 3: Cross multiply
    411,166.75x = 616,840.85 × 174,711.55
  4. Step 4: Simplify right side
    411,166.75x = 107,769,221,006.82
  5. Step 5: Solve for x
    x = 107,769,221,006.82/411,166.75
  6. Step 6: Final answer
    x = 262,105.88

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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.