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Finding the Fourth Proportional to 414,213.76, 620,324.16 and 236,181.04

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Solution

The fourth proportional to 414,213.76, 620,324.16 and 236,181.04 is: 353,703.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,213.76 : 620,324.16 = 236,181.04 : x
  2. Step 2: Convert to fraction form
    414,213.76/620,324.16 = 236,181.04/x
  3. Step 3: Cross multiply
    414,213.76x = 620,324.16 × 236,181.04
  4. Step 4: Simplify right side
    414,213.76x = 146,508,805,245.93
  5. Step 5: Solve for x
    x = 146,508,805,245.93/414,213.76
  6. Step 6: Final answer
    x = 353,703.38

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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.