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Finding the Fourth Proportional to 509,966.80, 764,950.20 and 419,765.20

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Solution

The fourth proportional to 509,966.80, 764,950.20 and 419,765.20 is: 629,647.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,966.80 : 764,950.20 = 419,765.20 : x
  2. Step 2: Convert to fraction form
    509,966.80/764,950.20 = 419,765.20/x
  3. Step 3: Cross multiply
    509,966.80x = 764,950.20 × 419,765.20
  4. Step 4: Simplify right side
    509,966.80x = 321,099,473,693.04
  5. Step 5: Solve for x
    x = 321,099,473,693.04/509,966.80
  6. Step 6: Final answer
    x = 629,647.80

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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.