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Finding the Fourth Proportional to 2,783,683, 4,175,524.50 and 682,435

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Solution

The fourth proportional to 2,783,683, 4,175,524.50 and 682,435 is: 1,023,652.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,783,683 : 4,175,524.50 = 682,435 : x
  2. Step 2: Convert to fraction form
    2,783,683/4,175,524.50 = 682,435/x
  3. Step 3: Cross multiply
    2,783,683x = 4,175,524.50 × 682,435
  4. Step 4: Simplify right side
    2,783,683x = 2,849,524,062,157.50
  5. Step 5: Solve for x
    x = 2,849,524,062,157.50/2,783,683
  6. Step 6: Final answer
    x = 1,023,652.50

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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.