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Finding the Fourth Proportional to 1,181,976, 1,772,964 and 295,512

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Solution

The fourth proportional to 1,181,976, 1,772,964 and 295,512 is: 443,268

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,181,976 : 1,772,964 = 295,512 : x
  2. Step 2: Convert to fraction form
    1,181,976/1,772,964 = 295,512/x
  3. Step 3: Cross multiply
    1,181,976x = 1,772,964 × 295,512
  4. Step 4: Simplify right side
    1,181,976x = 523,932,137,568
  5. Step 5: Solve for x
    x = 523,932,137,568/1,181,976
  6. Step 6: Final answer
    x = 443,268

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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.