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Finding the Fourth Proportional to 267,879.24, 401,893.02 and 217,835.64

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Solution

The fourth proportional to 267,879.24, 401,893.02 and 217,835.64 is: 326,813.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,879.24 : 401,893.02 = 217,835.64 : x
  2. Step 2: Convert to fraction form
    267,879.24/401,893.02 = 217,835.64/x
  3. Step 3: Cross multiply
    267,879.24x = 401,893.02 × 217,835.64
  4. Step 4: Simplify right side
    267,879.24x = 87,546,623,223.23
  5. Step 5: Solve for x
    x = 87,546,623,223.23/267,879.24
  6. Step 6: Final answer
    x = 326,813.77

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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.