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Finding the Fourth Proportional to 414,711.63, 621,697 and 161,933.31

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Solution

The fourth proportional to 414,711.63, 621,697 and 161,933.31 is: 242,755.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,711.63 : 621,697 = 161,933.31 : x
  2. Step 2: Convert to fraction form
    414,711.63/621,697 = 161,933.31/x
  3. Step 3: Cross multiply
    414,711.63x = 621,697 × 161,933.31
  4. Step 4: Simplify right side
    414,711.63x = 100,673,453,027.07
  5. Step 5: Solve for x
    x = 100,673,453,027.07/414,711.63
  6. Step 6: Final answer
    x = 242,755.32

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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.