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Finding the Fourth Proportional to 677,814, 1,016,721 and 234,582

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Solution

The fourth proportional to 677,814, 1,016,721 and 234,582 is: 351,873

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,814 : 1,016,721 = 234,582 : x
  2. Step 2: Convert to fraction form
    677,814/1,016,721 = 234,582/x
  3. Step 3: Cross multiply
    677,814x = 1,016,721 × 234,582
  4. Step 4: Simplify right side
    677,814x = 238,504,445,622
  5. Step 5: Solve for x
    x = 238,504,445,622/677,814
  6. Step 6: Final answer
    x = 351,873

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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.