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Finding the Fourth Proportional to 647,250.80, 970,949.10 and 197,968.10

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Solution

The fourth proportional to 647,250.80, 970,949.10 and 197,968.10 is: 296,974.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,250.80 : 970,949.10 = 197,968.10 : x
  2. Step 2: Convert to fraction form
    647,250.80/970,949.10 = 197,968.10/x
  3. Step 3: Cross multiply
    647,250.80x = 970,949.10 × 197,968.10
  4. Step 4: Simplify right side
    647,250.80x = 192,216,948,523.71
  5. Step 5: Solve for x
    x = 192,216,948,523.71/647,250.80
  6. Step 6: Final answer
    x = 296,974.45

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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.