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Finding the Fourth Proportional to 414,922.50, 622,327.86 and 162,026.33

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Solution

The fourth proportional to 414,922.50, 622,327.86 and 162,026.33 is: 243,017.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,922.50 : 622,327.86 = 162,026.33 : x
  2. Step 2: Convert to fraction form
    414,922.50/622,327.86 = 162,026.33/x
  3. Step 3: Cross multiply
    414,922.50x = 622,327.86 × 162,026.33
  4. Step 4: Simplify right side
    414,922.50x = 100,833,496,100.92
  5. Step 5: Solve for x
    x = 100,833,496,100.92/414,922.50
  6. Step 6: Final answer
    x = 243,017.66

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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.