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Finding the Fourth Proportional to 414,069.26, 571,435.85 and 232,838.24

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Solution

The fourth proportional to 414,069.26, 571,435.85 and 232,838.24 is: 321,328.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,069.26 : 571,435.85 = 232,838.24 : x
  2. Step 2: Convert to fraction form
    414,069.26/571,435.85 = 232,838.24/x
  3. Step 3: Cross multiply
    414,069.26x = 571,435.85 × 232,838.24
  4. Step 4: Simplify right side
    414,069.26x = 133,052,116,422.71
  5. Step 5: Solve for x
    x = 133,052,116,422.71/414,069.26
  6. Step 6: Final answer
    x = 321,328.17

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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.