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Finding the Fourth Proportional to 411,296.26, 616,715.16 and 126,906.06

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Solution

The fourth proportional to 411,296.26, 616,715.16 and 126,906.06 is: 190,288.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,296.26 : 616,715.16 = 126,906.06 : x
  2. Step 2: Convert to fraction form
    411,296.26/616,715.16 = 126,906.06/x
  3. Step 3: Cross multiply
    411,296.26x = 616,715.16 × 126,906.06
  4. Step 4: Simplify right side
    411,296.26x = 78,264,891,097.87
  5. Step 5: Solve for x
    x = 78,264,891,097.87/411,296.26
  6. Step 6: Final answer
    x = 190,288.36

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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.