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Finding the Fourth Proportional to 496,759.86, 685,541.97 and 270,414.90

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Solution

The fourth proportional to 496,759.86, 685,541.97 and 270,414.90 is: 373,179.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,759.86 : 685,541.97 = 270,414.90 : x
  2. Step 2: Convert to fraction form
    496,759.86/685,541.97 = 270,414.90/x
  3. Step 3: Cross multiply
    496,759.86x = 685,541.97 × 270,414.90
  4. Step 4: Simplify right side
    496,759.86x = 185,380,763,263.35
  5. Step 5: Solve for x
    x = 185,380,763,263.35/496,759.86
  6. Step 6: Final answer
    x = 373,179.84

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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.