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Finding the Fourth Proportional to 414,425.48, 571,906.32 and 233,137.52

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Solution

The fourth proportional to 414,425.48, 571,906.32 and 233,137.52 is: 321,729.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,425.48 : 571,906.32 = 233,137.52 : x
  2. Step 2: Convert to fraction form
    414,425.48/571,906.32 = 233,137.52/x
  3. Step 3: Cross multiply
    414,425.48x = 571,906.32 × 233,137.52
  4. Step 4: Simplify right side
    414,425.48x = 133,332,821,117.13
  5. Step 5: Solve for x
    x = 133,332,821,117.13/414,425.48
  6. Step 6: Final answer
    x = 321,729.30

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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.