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Finding the Fourth Proportional to 493,657.20, 738,613.80 and 327,769.20

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Solution

The fourth proportional to 493,657.20, 738,613.80 and 327,769.20 is: 490,410.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,657.20 : 738,613.80 = 327,769.20 : x
  2. Step 2: Convert to fraction form
    493,657.20/738,613.80 = 327,769.20/x
  3. Step 3: Cross multiply
    493,657.20x = 738,613.80 × 327,769.20
  4. Step 4: Simplify right side
    493,657.20x = 242,094,854,334.96
  5. Step 5: Solve for x
    x = 242,094,854,334.96/493,657.20
  6. Step 6: Final answer
    x = 490,410.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.