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Finding the Fourth Proportional to 400,694.72, 552,934.26 and 219,408.80

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Solution

The fourth proportional to 400,694.72, 552,934.26 and 219,408.80 is: 302,770.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,694.72 : 552,934.26 = 219,408.80 : x
  2. Step 2: Convert to fraction form
    400,694.72/552,934.26 = 219,408.80/x
  3. Step 3: Cross multiply
    400,694.72x = 552,934.26 × 219,408.80
  4. Step 4: Simplify right side
    400,694.72x = 121,318,642,465.49
  5. Step 5: Solve for x
    x = 121,318,642,465.49/400,694.72
  6. Step 6: Final answer
    x = 302,770.75

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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.