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Finding the Fourth Proportional to 509,967.80, 764,951.70 and 419,766.20

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Solution

The fourth proportional to 509,967.80, 764,951.70 and 419,766.20 is: 629,649.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,967.80 : 764,951.70 = 419,766.20 : x
  2. Step 2: Convert to fraction form
    509,967.80/764,951.70 = 419,766.20/x
  3. Step 3: Cross multiply
    509,967.80x = 764,951.70 × 419,766.20
  4. Step 4: Simplify right side
    509,967.80x = 321,100,868,292.54
  5. Step 5: Solve for x
    x = 321,100,868,292.54/509,967.80
  6. Step 6: Final answer
    x = 629,649.30

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Similar ratio
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1.5x scale

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.