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Finding the Fourth Proportional to 647,464.90, 970,736.55 and 247,951.30

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Solution

The fourth proportional to 647,464.90, 970,736.55 and 247,951.30 is: 371,750.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,464.90 : 970,736.55 = 247,951.30 : x
  2. Step 2: Convert to fraction form
    647,464.90/970,736.55 = 247,951.30/x
  3. Step 3: Cross multiply
    647,464.90x = 970,736.55 × 247,951.30
  4. Step 4: Simplify right side
    647,464.90x = 240,695,389,530.02
  5. Step 5: Solve for x
    x = 240,695,389,530.02/647,464.90
  6. Step 6: Final answer
    x = 371,750.48

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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.