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Finding the Fourth Proportional to 411,662, 617,406.59 and 116,104.88

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Solution

The fourth proportional to 411,662, 617,406.59 and 116,104.88 is: 174,132.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,662 : 617,406.59 = 116,104.88 : x
  2. Step 2: Convert to fraction form
    411,662/617,406.59 = 116,104.88/x
  3. Step 3: Cross multiply
    411,662x = 617,406.59 × 116,104.88
  4. Step 4: Simplify right side
    411,662x = 71,683,918,043.16
  5. Step 5: Solve for x
    x = 71,683,918,043.16/411,662
  6. Step 6: Final answer
    x = 174,132.95

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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.