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Finding the Fourth Proportional to 411,168.77, 616,811.13 and 126,882.46

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Solution

The fourth proportional to 411,168.77, 616,811.13 and 126,882.46 is: 190,341.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,168.77 : 616,811.13 = 126,882.46 : x
  2. Step 2: Convert to fraction form
    411,168.77/616,811.13 = 126,882.46/x
  3. Step 3: Cross multiply
    411,168.77x = 616,811.13 × 126,882.46
  4. Step 4: Simplify right side
    411,168.77x = 78,262,513,529.78
  5. Step 5: Solve for x
    x = 78,262,513,529.78/411,168.77
  6. Step 6: Final answer
    x = 190,341.58

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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.