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Finding the Fourth Proportional to 411,661, 617,405.09 and 116,103.88

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Solution

The fourth proportional to 411,661, 617,405.09 and 116,103.88 is: 174,131.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,661 : 617,405.09 = 116,103.88 : x
  2. Step 2: Convert to fraction form
    411,661/617,405.09 = 116,103.88/x
  3. Step 3: Cross multiply
    411,661x = 617,405.09 × 116,103.88
  4. Step 4: Simplify right side
    411,661x = 71,683,126,480.75
  5. Step 5: Solve for x
    x = 71,683,126,480.75/411,661
  6. Step 6: Final answer
    x = 174,131.45

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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.