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Finding the Fourth Proportional to 509,933.20, 764,899.80 and 421,286.80

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Solution

The fourth proportional to 509,933.20, 764,899.80 and 421,286.80 is: 631,930.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,933.20 : 764,899.80 = 421,286.80 : x
  2. Step 2: Convert to fraction form
    509,933.20/764,899.80 = 421,286.80/x
  3. Step 3: Cross multiply
    509,933.20x = 764,899.80 × 421,286.80
  4. Step 4: Simplify right side
    509,933.20x = 322,242,189,062.64
  5. Step 5: Solve for x
    x = 322,242,189,062.64/509,933.20
  6. Step 6: Final answer
    x = 631,930.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.