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Finding the Fourth Proportional to 414,357.31, 571,863.61 and 233,076.88

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Solution

The fourth proportional to 414,357.31, 571,863.61 and 233,076.88 is: 321,674.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,357.31 : 571,863.61 = 233,076.88 : x
  2. Step 2: Convert to fraction form
    414,357.31/571,863.61 = 233,076.88/x
  3. Step 3: Cross multiply
    414,357.31x = 571,863.61 × 233,076.88
  4. Step 4: Simplify right side
    414,357.31x = 133,288,186,004.34
  5. Step 5: Solve for x
    x = 133,288,186,004.34/414,357.31
  6. Step 6: Final answer
    x = 321,674.51

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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.