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Finding the Fourth Proportional to 418,185.44, 628,522.32 and 196,724.96

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Solution

The fourth proportional to 418,185.44, 628,522.32 and 196,724.96 is: 295,672.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,185.44 : 628,522.32 = 196,724.96 : x
  2. Step 2: Convert to fraction form
    418,185.44/628,522.32 = 196,724.96/x
  3. Step 3: Cross multiply
    418,185.44x = 628,522.32 × 196,724.96
  4. Step 4: Simplify right side
    418,185.44x = 123,646,028,261.11
  5. Step 5: Solve for x
    x = 123,646,028,261.11/418,185.44
  6. Step 6: Final answer
    x = 295,672.72

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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.