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Finding the Fourth Proportional to 598,978.60, 826,584.17 and 327,045.65

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Solution

The fourth proportional to 598,978.60, 826,584.17 and 327,045.65 is: 451,319.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,978.60 : 826,584.17 = 327,045.65 : x
  2. Step 2: Convert to fraction form
    598,978.60/826,584.17 = 327,045.65/x
  3. Step 3: Cross multiply
    598,978.60x = 826,584.17 × 327,045.65
  4. Step 4: Simplify right side
    598,978.60x = 270,330,756,958.56
  5. Step 5: Solve for x
    x = 270,330,756,958.56/598,978.60
  6. Step 6: Final answer
    x = 451,319.56

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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.