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Finding the Fourth Proportional to 288,019.56, 397,467.10 and 160,692.42

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Solution

The fourth proportional to 288,019.56, 397,467.10 and 160,692.42 is: 221,755.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,019.56 : 397,467.10 = 160,692.42 : x
  2. Step 2: Convert to fraction form
    288,019.56/397,467.10 = 160,692.42/x
  3. Step 3: Cross multiply
    288,019.56x = 397,467.10 × 160,692.42
  4. Step 4: Simplify right side
    288,019.56x = 63,869,950,169.38
  5. Step 5: Solve for x
    x = 63,869,950,169.38/288,019.56
  6. Step 6: Final answer
    x = 221,755.60

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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.