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Finding the Fourth Proportional to 512,209.20, 766,564.20 and 449,223.60

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Solution

The fourth proportional to 512,209.20, 766,564.20 and 449,223.60 is: 672,300.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,209.20 : 766,564.20 = 449,223.60 : x
  2. Step 2: Convert to fraction form
    512,209.20/766,564.20 = 449,223.60/x
  3. Step 3: Cross multiply
    512,209.20x = 766,564.20 × 449,223.60
  4. Step 4: Simplify right side
    512,209.20x = 344,358,729,555.12
  5. Step 5: Solve for x
    x = 344,358,729,555.12/512,209.20
  6. Step 6: Final answer
    x = 672,300.95

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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.