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Finding the Fourth Proportional to 414,471.87, 571,930.47 and 233,179.90

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Solution

The fourth proportional to 414,471.87, 571,930.47 and 233,179.90 is: 321,765.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,471.87 : 571,930.47 = 233,179.90 : x
  2. Step 2: Convert to fraction form
    414,471.87/571,930.47 = 233,179.90/x
  3. Step 3: Cross multiply
    414,471.87x = 571,930.47 × 233,179.90
  4. Step 4: Simplify right side
    414,471.87x = 133,362,689,801.55
  5. Step 5: Solve for x
    x = 133,362,689,801.55/414,471.87
  6. Step 6: Final answer
    x = 321,765.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.