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Finding the Fourth Proportional to 411,165, 616,838.22 and 174,709.80

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Solution

The fourth proportional to 411,165, 616,838.22 and 174,709.80 is: 262,103.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,165 : 616,838.22 = 174,709.80 : x
  2. Step 2: Convert to fraction form
    411,165/616,838.22 = 174,709.80/x
  3. Step 3: Cross multiply
    411,165x = 616,838.22 × 174,709.80
  4. Step 4: Simplify right side
    411,165x = 107,767,682,048.56
  5. Step 5: Solve for x
    x = 107,767,682,048.56/411,165
  6. Step 6: Final answer
    x = 262,103.25

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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.