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Finding the Fourth Proportional to 2,783,682, 4,175,523 and 682,434

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Solution

The fourth proportional to 2,783,682, 4,175,523 and 682,434 is: 1,023,651

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,783,682 : 4,175,523 = 682,434 : x
  2. Step 2: Convert to fraction form
    2,783,682/4,175,523 = 682,434/x
  3. Step 3: Cross multiply
    2,783,682x = 4,175,523 × 682,434
  4. Step 4: Simplify right side
    2,783,682x = 2,849,518,862,982
  5. Step 5: Solve for x
    x = 2,849,518,862,982/2,783,682
  6. Step 6: Final answer
    x = 1,023,651

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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.