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Finding the Fourth Proportional to 512,128.80, 768,193.20 and 405,223.20

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Solution

The fourth proportional to 512,128.80, 768,193.20 and 405,223.20 is: 607,834.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,128.80 : 768,193.20 = 405,223.20 : x
  2. Step 2: Convert to fraction form
    512,128.80/768,193.20 = 405,223.20/x
  3. Step 3: Cross multiply
    512,128.80x = 768,193.20 × 405,223.20
  4. Step 4: Simplify right side
    512,128.80x = 311,289,706,722.24
  5. Step 5: Solve for x
    x = 311,289,706,722.24/512,128.80
  6. Step 6: Final answer
    x = 607,834.80

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1.5x scale

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.