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Finding the Fourth Proportional to 414,087.26, 571,436.96 and 232,800

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Solution

The fourth proportional to 414,087.26, 571,436.96 and 232,800 is: 321,262.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,087.26 : 571,436.96 = 232,800 : x
  2. Step 2: Convert to fraction form
    414,087.26/571,436.96 = 232,800/x
  3. Step 3: Cross multiply
    414,087.26x = 571,436.96 × 232,800
  4. Step 4: Simplify right side
    414,087.26x = 133,030,524,288.00
  5. Step 5: Solve for x
    x = 133,030,524,288.00/414,087.26
  6. Step 6: Final answer
    x = 321,262.06

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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.