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Finding the Fourth Proportional to 407,034.68, 610,581.42 and 107,511.36

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Solution

The fourth proportional to 407,034.68, 610,581.42 and 107,511.36 is: 161,274.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,034.68 : 610,581.42 = 107,511.36 : x
  2. Step 2: Convert to fraction form
    407,034.68/610,581.42 = 107,511.36/x
  3. Step 3: Cross multiply
    407,034.68x = 610,581.42 × 107,511.36
  4. Step 4: Simplify right side
    407,034.68x = 65,644,440,556.03
  5. Step 5: Solve for x
    x = 65,644,440,556.03/407,034.68
  6. Step 6: Final answer
    x = 161,274.81

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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.