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Finding the Fourth Proportional to 647,231.30, 970,691.24 and 197,956.06

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Solution

The fourth proportional to 647,231.30, 970,691.24 and 197,956.06 is: 296,886.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,231.30 : 970,691.24 = 197,956.06 : x
  2. Step 2: Convert to fraction form
    647,231.30/970,691.24 = 197,956.06/x
  3. Step 3: Cross multiply
    647,231.30x = 970,691.24 × 197,956.06
  4. Step 4: Simplify right side
    647,231.30x = 192,154,213,346.91
  5. Step 5: Solve for x
    x = 192,154,213,346.91/647,231.30
  6. Step 6: Final answer
    x = 296,886.47

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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.