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Finding the Fourth Proportional to 407,854.20, 611,183.70 and 365,734.20

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Solution

The fourth proportional to 407,854.20, 611,183.70 and 365,734.20 is: 548,065.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,854.20 : 611,183.70 = 365,734.20 : x
  2. Step 2: Convert to fraction form
    407,854.20/611,183.70 = 365,734.20/x
  3. Step 3: Cross multiply
    407,854.20x = 611,183.70 × 365,734.20
  4. Step 4: Simplify right side
    407,854.20x = 223,530,781,572.54
  5. Step 5: Solve for x
    x = 223,530,781,572.54/407,854.20
  6. Step 6: Final answer
    x = 548,065.42

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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.