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Finding the Fourth Proportional to 263,813, 364,558.74 and 200,032.52

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Solution

The fourth proportional to 263,813, 364,558.74 and 200,032.52 is: 276,421.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,813 : 364,558.74 = 200,032.52 : x
  2. Step 2: Convert to fraction form
    263,813/364,558.74 = 200,032.52/x
  3. Step 3: Cross multiply
    263,813x = 364,558.74 × 200,032.52
  4. Step 4: Simplify right side
    263,813x = 72,923,603,450.22
  5. Step 5: Solve for x
    x = 72,923,603,450.22/263,813
  6. Step 6: Final answer
    x = 276,421.57

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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.