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Finding the Fourth Proportional to 647,091.90, 970,552.80 and 197,857.80

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Solution

The fourth proportional to 647,091.90, 970,552.80 and 197,857.80 is: 296,760.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,091.90 : 970,552.80 = 197,857.80 : x
  2. Step 2: Convert to fraction form
    647,091.90/970,552.80 = 197,857.80/x
  3. Step 3: Cross multiply
    647,091.90x = 970,552.80 × 197,857.80
  4. Step 4: Simplify right side
    647,091.90x = 192,031,441,791.84
  5. Step 5: Solve for x
    x = 192,031,441,791.84/647,091.90
  6. Step 6: Final answer
    x = 296,760.69

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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.