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Finding the Fourth Proportional to 603,662.96, 905,394 and 182,838.80

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Solution

The fourth proportional to 603,662.96, 905,394 and 182,838.80 is: 274,227.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    603,662.96 : 905,394 = 182,838.80 : x
  2. Step 2: Convert to fraction form
    603,662.96/905,394 = 182,838.80/x
  3. Step 3: Cross multiply
    603,662.96x = 905,394 × 182,838.80
  4. Step 4: Simplify right side
    603,662.96x = 165,541,152,487.20
  5. Step 5: Solve for x
    x = 165,541,152,487.20/603,662.96
  6. Step 6: Final answer
    x = 274,227.78

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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.