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Finding the Fourth Proportional to 419,756.31, 629,819.96 and 220,028.94

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Solution

The fourth proportional to 419,756.31, 629,819.96 and 220,028.94 is: 330,140.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,756.31 : 629,819.96 = 220,028.94 : x
  2. Step 2: Convert to fraction form
    419,756.31/629,819.96 = 220,028.94/x
  3. Step 3: Cross multiply
    419,756.31x = 629,819.96 × 220,028.94
  4. Step 4: Simplify right side
    419,756.31x = 138,578,617,089.50
  5. Step 5: Solve for x
    x = 138,578,617,089.50/419,756.31
  6. Step 6: Final answer
    x = 330,140.64

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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.