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Finding the Fourth Proportional to 647,098.40, 970,562.55 and 197,864.30

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Solution

The fourth proportional to 647,098.40, 970,562.55 and 197,864.30 is: 296,770.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,098.40 : 970,562.55 = 197,864.30 : x
  2. Step 2: Convert to fraction form
    647,098.40/970,562.55 = 197,864.30/x
  3. Step 3: Cross multiply
    647,098.40x = 970,562.55 × 197,864.30
  4. Step 4: Simplify right side
    647,098.40x = 192,039,679,561.97
  5. Step 5: Solve for x
    x = 192,039,679,561.97/647,098.40
  6. Step 6: Final answer
    x = 296,770.44

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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.