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Finding the Fourth Proportional to 406,494.80, 609,522.24 and 322,793.44

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Solution

The fourth proportional to 406,494.80, 609,522.24 and 322,793.44 is: 484,015.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,494.80 : 609,522.24 = 322,793.44 : x
  2. Step 2: Convert to fraction form
    406,494.80/609,522.24 = 322,793.44/x
  3. Step 3: Cross multiply
    406,494.80x = 609,522.24 × 322,793.44
  4. Step 4: Simplify right side
    406,494.80x = 196,749,780,606.11
  5. Step 5: Solve for x
    x = 196,749,780,606.11/406,494.80
  6. Step 6: Final answer
    x = 484,015.49

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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.