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Finding the Fourth Proportional to 463,233.60, 694,850.40 and 197,002.80

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Solution

The fourth proportional to 463,233.60, 694,850.40 and 197,002.80 is: 295,504.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,233.60 : 694,850.40 = 197,002.80 : x
  2. Step 2: Convert to fraction form
    463,233.60/694,850.40 = 197,002.80/x
  3. Step 3: Cross multiply
    463,233.60x = 694,850.40 × 197,002.80
  4. Step 4: Simplify right side
    463,233.60x = 136,887,474,381.12
  5. Step 5: Solve for x
    x = 136,887,474,381.12/463,233.60
  6. Step 6: Final answer
    x = 295,504.20

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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.