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Finding the Fourth Proportional to 512,233.80, 768,120.30 and 196,585.80

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Solution

The fourth proportional to 512,233.80, 768,120.30 and 196,585.80 is: 294,790.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,233.80 : 768,120.30 = 196,585.80 : x
  2. Step 2: Convert to fraction form
    512,233.80/768,120.30 = 196,585.80/x
  3. Step 3: Cross multiply
    512,233.80x = 768,120.30 × 196,585.80
  4. Step 4: Simplify right side
    512,233.80x = 151,001,543,671.74
  5. Step 5: Solve for x
    x = 151,001,543,671.74/512,233.80
  6. Step 6: Final answer
    x = 294,790.28

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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.