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Finding the Fourth Proportional to 414,705.86, 622,086.82 and 141,040.63

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Solution

The fourth proportional to 414,705.86, 622,086.82 and 141,040.63 is: 211,570.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,705.86 : 622,086.82 = 141,040.63 : x
  2. Step 2: Convert to fraction form
    414,705.86/622,086.82 = 141,040.63/x
  3. Step 3: Cross multiply
    414,705.86x = 622,086.82 × 141,040.63
  4. Step 4: Simplify right side
    414,705.86x = 87,739,517,007.50
  5. Step 5: Solve for x
    x = 87,739,517,007.50/414,705.86
  6. Step 6: Final answer
    x = 211,570.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.