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Finding the Fourth Proportional to 463,110, 694,665 and 130,686

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Solution

The fourth proportional to 463,110, 694,665 and 130,686 is: 196,029

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,110 : 694,665 = 130,686 : x
  2. Step 2: Convert to fraction form
    463,110/694,665 = 130,686/x
  3. Step 3: Cross multiply
    463,110x = 694,665 × 130,686
  4. Step 4: Simplify right side
    463,110x = 90,782,990,190
  5. Step 5: Solve for x
    x = 90,782,990,190/463,110
  6. Step 6: Final answer
    x = 196,029

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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.