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Finding the Fourth Proportional to 463,143.60, 694,715.40 and 196,912.80

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Solution

The fourth proportional to 463,143.60, 694,715.40 and 196,912.80 is: 295,369.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,143.60 : 694,715.40 = 196,912.80 : x
  2. Step 2: Convert to fraction form
    463,143.60/694,715.40 = 196,912.80/x
  3. Step 3: Cross multiply
    463,143.60x = 694,715.40 × 196,912.80
  4. Step 4: Simplify right side
    463,143.60x = 136,798,354,617.12
  5. Step 5: Solve for x
    x = 136,798,354,617.12/463,143.60
  6. Step 6: Final answer
    x = 295,369.20

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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.