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Finding the Fourth Proportional to 414,469.22, 621,703.79 and 114,949.79

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Solution

The fourth proportional to 414,469.22, 621,703.79 and 114,949.79 is: 172,424.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,469.22 : 621,703.79 = 114,949.79 : x
  2. Step 2: Convert to fraction form
    414,469.22/621,703.79 = 114,949.79/x
  3. Step 3: Cross multiply
    414,469.22x = 621,703.79 × 114,949.79
  4. Step 4: Simplify right side
    414,469.22x = 71,464,721,944.34
  5. Step 5: Solve for x
    x = 71,464,721,944.34/414,469.22
  6. Step 6: Final answer
    x = 172,424.68

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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.