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Finding the Fourth Proportional to 647,193.89, 970,930.97 and 247,834.68

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Solution

The fourth proportional to 647,193.89, 970,930.97 and 247,834.68 is: 371,805.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,193.89 : 970,930.97 = 247,834.68 : x
  2. Step 2: Convert to fraction form
    647,193.89/970,930.97 = 247,834.68/x
  3. Step 3: Cross multiply
    647,193.89x = 970,930.97 × 247,834.68
  4. Step 4: Simplify right side
    647,193.89x = 240,630,366,252.04
  5. Step 5: Solve for x
    x = 240,630,366,252.04/647,193.89
  6. Step 6: Final answer
    x = 371,805.68

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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.