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Finding the Fourth Proportional to 414,800.77, 622,062.76 and 162,015.69

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Solution

The fourth proportional to 414,800.77, 622,062.76 and 162,015.69 is: 242,969.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,800.77 : 622,062.76 = 162,015.69 : x
  2. Step 2: Convert to fraction form
    414,800.77/622,062.76 = 162,015.69/x
  3. Step 3: Cross multiply
    414,800.77x = 622,062.76 × 162,015.69
  4. Step 4: Simplify right side
    414,800.77x = 100,783,929,971.85
  5. Step 5: Solve for x
    x = 100,783,929,971.85/414,800.77
  6. Step 6: Final answer
    x = 242,969.48

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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.