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Finding the Fourth Proportional to 414,383.20, 621,513.28 and 114,832.55

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Solution

The fourth proportional to 414,383.20, 621,513.28 and 114,832.55 is: 172,231.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,383.20 : 621,513.28 = 114,832.55 : x
  2. Step 2: Convert to fraction form
    414,383.20/621,513.28 = 114,832.55/x
  3. Step 3: Cross multiply
    414,383.20x = 621,513.28 × 114,832.55
  4. Step 4: Simplify right side
    414,383.20x = 71,369,954,801.26
  5. Step 5: Solve for x
    x = 71,369,954,801.26/414,383.20
  6. Step 6: Final answer
    x = 172,231.78

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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.