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Finding the Fourth Proportional to 425,871.20, 638,806.80 and 313,896.80

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Solution

The fourth proportional to 425,871.20, 638,806.80 and 313,896.80 is: 470,845.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,871.20 : 638,806.80 = 313,896.80 : x
  2. Step 2: Convert to fraction form
    425,871.20/638,806.80 = 313,896.80/x
  3. Step 3: Cross multiply
    425,871.20x = 638,806.80 × 313,896.80
  4. Step 4: Simplify right side
    425,871.20x = 200,519,410,338.24
  5. Step 5: Solve for x
    x = 200,519,410,338.24/425,871.20
  6. Step 6: Final answer
    x = 470,845.20

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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.