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Finding the Fourth Proportional to 465,759.62, 642,816.33 and 261,827.33

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Solution

The fourth proportional to 465,759.62, 642,816.33 and 261,827.33 is: 361,359.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,759.62 : 642,816.33 = 261,827.33 : x
  2. Step 2: Convert to fraction form
    465,759.62/642,816.33 = 261,827.33/x
  3. Step 3: Cross multiply
    465,759.62x = 642,816.33 × 261,827.33
  4. Step 4: Simplify right side
    465,759.62x = 168,306,883,364.30
  5. Step 5: Solve for x
    x = 168,306,883,364.30/465,759.62
  6. Step 6: Final answer
    x = 361,359.97

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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.