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Finding the Fourth Proportional to 512,823.30, 769,004.55 and 197,175.30

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Solution

The fourth proportional to 512,823.30, 769,004.55 and 197,175.30 is: 295,674.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,823.30 : 769,004.55 = 197,175.30 : x
  2. Step 2: Convert to fraction form
    512,823.30/769,004.55 = 197,175.30/x
  3. Step 3: Cross multiply
    512,823.30x = 769,004.55 × 197,175.30
  4. Step 4: Simplify right side
    512,823.30x = 151,628,702,847.62
  5. Step 5: Solve for x
    x = 151,628,702,847.62/512,823.30
  6. Step 6: Final answer
    x = 295,674.36

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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.