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Finding the Fourth Proportional to 647,044.40, 970,393.80 and 197,764.40

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Solution

The fourth proportional to 647,044.40, 970,393.80 and 197,764.40 is: 296,593.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,044.40 : 970,393.80 = 197,764.40 : x
  2. Step 2: Convert to fraction form
    647,044.40/970,393.80 = 197,764.40/x
  3. Step 3: Cross multiply
    647,044.40x = 970,393.80 × 197,764.40
  4. Step 4: Simplify right side
    647,044.40x = 191,909,347,620.72
  5. Step 5: Solve for x
    x = 191,909,347,620.72/647,044.40
  6. Step 6: Final answer
    x = 296,593.78

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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.