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Finding the Fourth Proportional to 509,844.40, 764,868.76 and 285,523.92

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Solution

The fourth proportional to 509,844.40, 764,868.76 and 285,523.92 is: 428,343.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,844.40 : 764,868.76 = 285,523.92 : x
  2. Step 2: Convert to fraction form
    509,844.40/764,868.76 = 285,523.92/x
  3. Step 3: Cross multiply
    509,844.40x = 764,868.76 × 285,523.92
  4. Step 4: Simplify right side
    509,844.40x = 218,388,326,640.74
  5. Step 5: Solve for x
    x = 218,388,326,640.74/509,844.40
  6. Step 6: Final answer
    x = 428,343.09

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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.