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Finding the Fourth Proportional to 365,993.96, 505,071.59 and 204,849

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Solution

The fourth proportional to 365,993.96, 505,071.59 and 204,849 is: 282,691.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,993.96 : 505,071.59 = 204,849 : x
  2. Step 2: Convert to fraction form
    365,993.96/505,071.59 = 204,849/x
  3. Step 3: Cross multiply
    365,993.96x = 505,071.59 × 204,849
  4. Step 4: Simplify right side
    365,993.96x = 103,463,409,115.67
  5. Step 5: Solve for x
    x = 103,463,409,115.67/365,993.96
  6. Step 6: Final answer
    x = 282,691.58

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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.