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Finding the Fourth Proportional to 496,584.50, 685,286.61 and 270,231.62

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Solution

The fourth proportional to 496,584.50, 685,286.61 and 270,231.62 is: 372,919.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,584.50 : 685,286.61 = 270,231.62 : x
  2. Step 2: Convert to fraction form
    496,584.50/685,286.61 = 270,231.62/x
  3. Step 3: Cross multiply
    496,584.50x = 685,286.61 × 270,231.62
  4. Step 4: Simplify right side
    496,584.50x = 185,186,110,784.61
  5. Step 5: Solve for x
    x = 185,186,110,784.61/496,584.50
  6. Step 6: Final answer
    x = 372,919.64

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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.