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Finding the Fourth Proportional to 463,669.20, 694,942.20 and 196,869.60

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Solution

The fourth proportional to 463,669.20, 694,942.20 and 196,869.60 is: 295,065.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,669.20 : 694,942.20 = 196,869.60 : x
  2. Step 2: Convert to fraction form
    463,669.20/694,942.20 = 196,869.60/x
  3. Step 3: Cross multiply
    463,669.20x = 694,942.20 × 196,869.60
  4. Step 4: Simplify right side
    463,669.20x = 136,812,992,937.12
  5. Step 5: Solve for x
    x = 136,812,992,937.12/463,669.20
  6. Step 6: Final answer
    x = 295,065.95

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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.