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Finding the Fourth Proportional to 647,097.28, 970,648.48 and 197,816.48

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Solution

The fourth proportional to 647,097.28, 970,648.48 and 197,816.48 is: 296,725.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,097.28 : 970,648.48 = 197,816.48 : x
  2. Step 2: Convert to fraction form
    647,097.28/970,648.48 = 197,816.48/x
  3. Step 3: Cross multiply
    647,097.28x = 970,648.48 × 197,816.48
  4. Step 4: Simplify right side
    647,097.28x = 192,010,265,630.95
  5. Step 5: Solve for x
    x = 192,010,265,630.95/647,097.28
  6. Step 6: Final answer
    x = 296,725.50

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.