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Finding the Fourth Proportional to 509,809.20, 764,022.60 and 340,849.20

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Solution

The fourth proportional to 509,809.20, 764,022.60 and 340,849.20 is: 510,811.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,809.20 : 764,022.60 = 340,849.20 : x
  2. Step 2: Convert to fraction form
    509,809.20/764,022.60 = 340,849.20/x
  3. Step 3: Cross multiply
    509,809.20x = 764,022.60 × 340,849.20
  4. Step 4: Simplify right side
    509,809.20x = 260,416,491,991.92
  5. Step 5: Solve for x
    x = 260,416,491,991.92/509,809.20
  6. Step 6: Final answer
    x = 510,811.68

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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.