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Finding the Fourth Proportional to 539,375.20, 809,289.60 and 289,765.60

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Solution

The fourth proportional to 539,375.20, 809,289.60 and 289,765.60 is: 434,770.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,375.20 : 809,289.60 = 289,765.60 : x
  2. Step 2: Convert to fraction form
    539,375.20/809,289.60 = 289,765.60/x
  3. Step 3: Cross multiply
    539,375.20x = 809,289.60 × 289,765.60
  4. Step 4: Simplify right side
    539,375.20x = 234,504,286,517.76
  5. Step 5: Solve for x
    x = 234,504,286,517.76/539,375.20
  6. Step 6: Final answer
    x = 434,770.24

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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.