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Finding the Fourth Proportional to 509,301.70, 764,298.15 and 331,375.30

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Solution

The fourth proportional to 509,301.70, 764,298.15 and 331,375.30 is: 497,287.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,301.70 : 764,298.15 = 331,375.30 : x
  2. Step 2: Convert to fraction form
    509,301.70/764,298.15 = 331,375.30/x
  3. Step 3: Cross multiply
    509,301.70x = 764,298.15 × 331,375.30
  4. Step 4: Simplify right side
    509,301.70x = 253,269,528,745.70
  5. Step 5: Solve for x
    x = 253,269,528,745.70/509,301.70
  6. Step 6: Final answer
    x = 497,287.81

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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.