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Finding the Fourth Proportional to 307,696.44, 461,279.70 and 120,663.48

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Solution

The fourth proportional to 307,696.44, 461,279.70 and 120,663.48 is: 180,891.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,696.44 : 461,279.70 = 120,663.48 : x
  2. Step 2: Convert to fraction form
    307,696.44/461,279.70 = 120,663.48/x
  3. Step 3: Cross multiply
    307,696.44x = 461,279.70 × 120,663.48
  4. Step 4: Simplify right side
    307,696.44x = 55,659,613,855.36
  5. Step 5: Solve for x
    x = 55,659,613,855.36/307,696.44
  6. Step 6: Final answer
    x = 180,891.32

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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.