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Finding the Fourth Proportional to 537,893.72, 806,914.54 and 182,812.44

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Solution

The fourth proportional to 537,893.72, 806,914.54 and 182,812.44 is: 274,243.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,893.72 : 806,914.54 = 182,812.44 : x
  2. Step 2: Convert to fraction form
    537,893.72/806,914.54 = 182,812.44/x
  3. Step 3: Cross multiply
    537,893.72x = 806,914.54 × 182,812.44
  4. Step 4: Simplify right side
    537,893.72x = 147,514,015,928.88
  5. Step 5: Solve for x
    x = 147,514,015,928.88/537,893.72
  6. Step 6: Final answer
    x = 274,243.80

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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.