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Finding the Fourth Proportional to 406,771.28, 610,180.16 and 136,791.08

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Solution

The fourth proportional to 406,771.28, 610,180.16 and 136,791.08 is: 205,194.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,771.28 : 610,180.16 = 136,791.08 : x
  2. Step 2: Convert to fraction form
    406,771.28/610,180.16 = 136,791.08/x
  3. Step 3: Cross multiply
    406,771.28x = 610,180.16 × 136,791.08
  4. Step 4: Simplify right side
    406,771.28x = 83,467,203,080.97
  5. Step 5: Solve for x
    x = 83,467,203,080.97/406,771.28
  6. Step 6: Final answer
    x = 205,194.44

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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.