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Finding the Fourth Proportional to 1,286,469.56, 1,929,433.44 and 829,692.56

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Solution

The fourth proportional to 1,286,469.56, 1,929,433.44 and 829,692.56 is: 1,244,364.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286,469.56 : 1,929,433.44 = 829,692.56 : x
  2. Step 2: Convert to fraction form
    1,286,469.56/1,929,433.44 = 829,692.56/x
  3. Step 3: Cross multiply
    1,286,469.56x = 1,929,433.44 × 829,692.56
  4. Step 4: Simplify right side
    1,286,469.56x = 1,600,836,570,183.21
  5. Step 5: Solve for x
    x = 1,600,836,570,183.21/1,286,469.56
  6. Step 6: Final answer
    x = 1,244,364.13

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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.