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Finding the Fourth Proportional to 414,057.42, 571,399.31 and 232,769.70

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Solution

The fourth proportional to 414,057.42, 571,399.31 and 232,769.70 is: 321,222.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,057.42 : 571,399.31 = 232,769.70 : x
  2. Step 2: Convert to fraction form
    414,057.42/571,399.31 = 232,769.70/x
  3. Step 3: Cross multiply
    414,057.42x = 571,399.31 × 232,769.70
  4. Step 4: Simplify right side
    414,057.42x = 133,004,446,550.83
  5. Step 5: Solve for x
    x = 133,004,446,550.83/414,057.42
  6. Step 6: Final answer
    x = 321,222.23

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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.