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Finding the Fourth Proportional to 496,670.40, 685,039.20 and 315,226.56

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Solution

The fourth proportional to 496,670.40, 685,039.20 and 315,226.56 is: 434,780.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,670.40 : 685,039.20 = 315,226.56 : x
  2. Step 2: Convert to fraction form
    496,670.40/685,039.20 = 315,226.56/x
  3. Step 3: Cross multiply
    496,670.40x = 685,039.20 × 315,226.56
  4. Step 4: Simplify right side
    496,670.40x = 215,942,550,481.15
  5. Step 5: Solve for x
    x = 215,942,550,481.15/496,670.40
  6. Step 6: Final answer
    x = 434,780.39

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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.