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Finding the Fourth Proportional to 463,243.16, 694,857.44 and 147,697.94

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Solution

The fourth proportional to 463,243.16, 694,857.44 and 147,697.94 is: 221,544.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,243.16 : 694,857.44 = 147,697.94 : x
  2. Step 2: Convert to fraction form
    463,243.16/694,857.44 = 147,697.94/x
  3. Step 3: Cross multiply
    463,243.16x = 694,857.44 × 147,697.94
  4. Step 4: Simplify right side
    463,243.16x = 102,629,012,481.67
  5. Step 5: Solve for x
    x = 102,629,012,481.67/463,243.16
  6. Step 6: Final answer
    x = 221,544.58

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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.