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Finding the Fourth Proportional to 512,848.30, 769,042.05 and 197,200.30

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Solution

The fourth proportional to 512,848.30, 769,042.05 and 197,200.30 is: 295,711.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,848.30 : 769,042.05 = 197,200.30 : x
  2. Step 2: Convert to fraction form
    512,848.30/769,042.05 = 197,200.30/x
  3. Step 3: Cross multiply
    512,848.30x = 769,042.05 × 197,200.30
  4. Step 4: Simplify right side
    512,848.30x = 151,655,322,972.62
  5. Step 5: Solve for x
    x = 151,655,322,972.62/512,848.30
  6. Step 6: Final answer
    x = 295,711.86

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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.