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Finding the Fourth Proportional to 512,969.65, 769,453.20 and 481,756.50

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Solution

The fourth proportional to 512,969.65, 769,453.20 and 481,756.50 is: 722,633.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,969.65 : 769,453.20 = 481,756.50 : x
  2. Step 2: Convert to fraction form
    512,969.65/769,453.20 = 481,756.50/x
  3. Step 3: Cross multiply
    512,969.65x = 769,453.20 × 481,756.50
  4. Step 4: Simplify right side
    512,969.65x = 370,689,080,545.80
  5. Step 5: Solve for x
    x = 370,689,080,545.80/512,969.65
  6. Step 6: Final answer
    x = 722,633.55

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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.