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Finding the Fourth Proportional to 411,659.25, 617,402.47 and 116,102.13

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Solution

The fourth proportional to 411,659.25, 617,402.47 and 116,102.13 is: 174,128.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,659.25 : 617,402.47 = 116,102.13 : x
  2. Step 2: Convert to fraction form
    411,659.25/617,402.47 = 116,102.13/x
  3. Step 3: Cross multiply
    411,659.25x = 617,402.47 × 116,102.13
  4. Step 4: Simplify right side
    411,659.25x = 71,681,738,456.99
  5. Step 5: Solve for x
    x = 71,681,738,456.99/411,659.25
  6. Step 6: Final answer
    x = 174,128.82

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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.