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Finding the Fourth Proportional to 411,659.75, 617,403.22 and 116,102.63

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Solution

The fourth proportional to 411,659.75, 617,403.22 and 116,102.63 is: 174,129.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,659.75 : 617,403.22 = 116,102.63 : x
  2. Step 2: Convert to fraction form
    411,659.75/617,403.22 = 116,102.63/x
  3. Step 3: Cross multiply
    411,659.75x = 617,403.22 × 116,102.63
  4. Step 4: Simplify right side
    411,659.75x = 71,682,133,944.94
  5. Step 5: Solve for x
    x = 71,682,133,944.94/411,659.75
  6. Step 6: Final answer
    x = 174,129.57

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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.