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Finding the Fourth Proportional to 406,522.44, 609,991.83 and 193,531.32

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Solution

The fourth proportional to 406,522.44, 609,991.83 and 193,531.32 is: 290,396.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,522.44 : 609,991.83 = 193,531.32 : x
  2. Step 2: Convert to fraction form
    406,522.44/609,991.83 = 193,531.32/x
  3. Step 3: Cross multiply
    406,522.44x = 609,991.83 × 193,531.32
  4. Step 4: Simplify right side
    406,522.44x = 118,052,524,049.12
  5. Step 5: Solve for x
    x = 118,052,524,049.12/406,522.44
  6. Step 6: Final answer
    x = 290,396.08

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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.