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Finding the Fourth Proportional to 285,692.16, 394,252.08 and 164,832

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Solution

The fourth proportional to 285,692.16, 394,252.08 and 164,832 is: 227,466.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,692.16 : 394,252.08 = 164,832 : x
  2. Step 2: Convert to fraction form
    285,692.16/394,252.08 = 164,832/x
  3. Step 3: Cross multiply
    285,692.16x = 394,252.08 × 164,832
  4. Step 4: Simplify right side
    285,692.16x = 64,985,358,850.56
  5. Step 5: Solve for x
    x = 64,985,358,850.56/285,692.16
  6. Step 6: Final answer
    x = 227,466.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.