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Finding the Fourth Proportional to 414,163.24, 571,542.42 and 235,315.24

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Solution

The fourth proportional to 414,163.24, 571,542.42 and 235,315.24 is: 324,733.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,163.24 : 571,542.42 = 235,315.24 : x
  2. Step 2: Convert to fraction form
    414,163.24/571,542.42 = 235,315.24/x
  3. Step 3: Cross multiply
    414,163.24x = 571,542.42 × 235,315.24
  4. Step 4: Simplify right side
    414,163.24x = 134,492,641,732.48
  5. Step 5: Solve for x
    x = 134,492,641,732.48/414,163.24
  6. Step 6: Final answer
    x = 324,733.41

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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.