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Finding the Fourth Proportional to 509,930.68, 764,768.85 and 150,029.92

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Solution

The fourth proportional to 509,930.68, 764,768.85 and 150,029.92 is: 225,007.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,930.68 : 764,768.85 = 150,029.92 : x
  2. Step 2: Convert to fraction form
    509,930.68/764,768.85 = 150,029.92/x
  3. Step 3: Cross multiply
    509,930.68x = 764,768.85 × 150,029.92
  4. Step 4: Simplify right side
    509,930.68x = 114,738,209,383.99
  5. Step 5: Solve for x
    x = 114,738,209,383.99/509,930.68
  6. Step 6: Final answer
    x = 225,007.46

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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.