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Finding the Fourth Proportional to 470,515.17, 705,375.96 and 204,075.03

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Solution

The fourth proportional to 470,515.17, 705,375.96 and 204,075.03 is: 305,940.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,515.17 : 705,375.96 = 204,075.03 : x
  2. Step 2: Convert to fraction form
    470,515.17/705,375.96 = 204,075.03/x
  3. Step 3: Cross multiply
    470,515.17x = 705,375.96 × 204,075.03
  4. Step 4: Simplify right side
    470,515.17x = 143,949,620,198.28
  5. Step 5: Solve for x
    x = 143,949,620,198.28/470,515.17
  6. Step 6: Final answer
    x = 305,940.44

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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.