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Finding the Fourth Proportional to 427,167.73, 589,472.80 and 233,571.79

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Solution

The fourth proportional to 427,167.73, 589,472.80 and 233,571.79 is: 322,318.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,167.73 : 589,472.80 = 233,571.79 : x
  2. Step 2: Convert to fraction form
    427,167.73/589,472.80 = 233,571.79/x
  3. Step 3: Cross multiply
    427,167.73x = 589,472.80 × 233,571.79
  4. Step 4: Simplify right side
    427,167.73x = 137,684,217,052.31
  5. Step 5: Solve for x
    x = 137,684,217,052.31/427,167.73
  6. Step 6: Final answer
    x = 322,318.86

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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.