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Finding the Fourth Proportional to 414,606.30, 572,142.87 and 233,321.82

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Solution

The fourth proportional to 414,606.30, 572,142.87 and 233,321.82 is: 321,976.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,606.30 : 572,142.87 = 233,321.82 : x
  2. Step 2: Convert to fraction form
    414,606.30/572,142.87 = 233,321.82/x
  3. Step 3: Cross multiply
    414,606.30x = 572,142.87 × 233,321.82
  4. Step 4: Simplify right side
    414,606.30x = 133,493,415,728.42
  5. Step 5: Solve for x
    x = 133,493,415,728.42/414,606.30
  6. Step 6: Final answer
    x = 321,976.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.