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Finding the Fourth Proportional to 414,704.86, 622,085.32 and 141,039.63

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Solution

The fourth proportional to 414,704.86, 622,085.32 and 141,039.63 is: 211,568.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,704.86 : 622,085.32 = 141,039.63 : x
  2. Step 2: Convert to fraction form
    414,704.86/622,085.32 = 141,039.63/x
  3. Step 3: Cross multiply
    414,704.86x = 622,085.32 × 141,039.63
  4. Step 4: Simplify right side
    414,704.86x = 87,738,682,744.18
  5. Step 5: Solve for x
    x = 87,738,682,744.18/414,704.86
  6. Step 6: Final answer
    x = 211,568.97

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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.