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Finding the Fourth Proportional to 414,086.26, 571,435.59 and 232,798.99

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Solution

The fourth proportional to 414,086.26, 571,435.59 and 232,798.99 is: 321,260.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,086.26 : 571,435.59 = 232,798.99 : x
  2. Step 2: Convert to fraction form
    414,086.26/571,435.59 = 232,798.99/x
  3. Step 3: Cross multiply
    414,086.26x = 571,435.59 × 232,798.99
  4. Step 4: Simplify right side
    414,086.26x = 133,029,628,202.05
  5. Step 5: Solve for x
    x = 133,029,628,202.05/414,086.26
  6. Step 6: Final answer
    x = 321,260.67

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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.