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Finding the Fourth Proportional to 263,287.40, 394,931.10 and 197,191.40

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Solution

The fourth proportional to 263,287.40, 394,931.10 and 197,191.40 is: 295,787.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,287.40 : 394,931.10 = 197,191.40 : x
  2. Step 2: Convert to fraction form
    263,287.40/394,931.10 = 197,191.40/x
  3. Step 3: Cross multiply
    263,287.40x = 394,931.10 × 197,191.40
  4. Step 4: Simplify right side
    263,287.40x = 77,877,016,512.54
  5. Step 5: Solve for x
    x = 77,877,016,512.54/263,287.40
  6. Step 6: Final answer
    x = 295,787.10

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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.