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Finding the Fourth Proportional to 647,327.52, 970,956.15 and 198,048.30

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Solution

The fourth proportional to 647,327.52, 970,956.15 and 198,048.30 is: 297,061.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,327.52 : 970,956.15 = 198,048.30 : x
  2. Step 2: Convert to fraction form
    647,327.52/970,956.15 = 198,048.30/x
  3. Step 3: Cross multiply
    647,327.52x = 970,956.15 × 198,048.30
  4. Step 4: Simplify right side
    647,327.52x = 192,296,214,882.05
  5. Step 5: Solve for x
    x = 192,296,214,882.05/647,327.52
  6. Step 6: Final answer
    x = 297,061.70

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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.