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Finding the Fourth Proportional to 414,073.26, 571,441.37 and 232,842.24

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Solution

The fourth proportional to 414,073.26, 571,441.37 and 232,842.24 is: 321,333.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,073.26 : 571,441.37 = 232,842.24 : x
  2. Step 2: Convert to fraction form
    414,073.26/571,441.37 = 232,842.24/x
  3. Step 3: Cross multiply
    414,073.26x = 571,441.37 × 232,842.24
  4. Step 4: Simplify right side
    414,073.26x = 133,055,688,619.47
  5. Step 5: Solve for x
    x = 133,055,688,619.47/414,073.26
  6. Step 6: Final answer
    x = 321,333.69

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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.