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Finding the Fourth Proportional to 411,659.50, 617,402.84 and 116,102.38

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Solution

The fourth proportional to 411,659.50, 617,402.84 and 116,102.38 is: 174,129.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,659.50 : 617,402.84 = 116,102.38 : x
  2. Step 2: Convert to fraction form
    411,659.50/617,402.84 = 116,102.38/x
  3. Step 3: Cross multiply
    411,659.50x = 617,402.84 × 116,102.38
  4. Step 4: Simplify right side
    411,659.50x = 71,681,936,346.00
  5. Step 5: Solve for x
    x = 71,681,936,346.00/411,659.50
  6. Step 6: Final answer
    x = 174,129.19

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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.