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Finding the Fourth Proportional to 512,552.85, 768,829.28 and 299,101.65

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Solution

The fourth proportional to 512,552.85, 768,829.28 and 299,101.65 is: 448,652.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,552.85 : 768,829.28 = 299,101.65 : x
  2. Step 2: Convert to fraction form
    512,552.85/768,829.28 = 299,101.65/x
  3. Step 3: Cross multiply
    512,552.85x = 768,829.28 × 299,101.65
  4. Step 4: Simplify right side
    512,552.85x = 229,958,104,720.80
  5. Step 5: Solve for x
    x = 229,958,104,720.80/512,552.85
  6. Step 6: Final answer
    x = 448,652.48

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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.