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Finding the Fourth Proportional to 263,274.30, 394,911.45 and 174,627.90

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Solution

The fourth proportional to 263,274.30, 394,911.45 and 174,627.90 is: 261,941.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,274.30 : 394,911.45 = 174,627.90 : x
  2. Step 2: Convert to fraction form
    263,274.30/394,911.45 = 174,627.90/x
  3. Step 3: Cross multiply
    263,274.30x = 394,911.45 × 174,627.90
  4. Step 4: Simplify right side
    263,274.30x = 68,962,557,199.46
  5. Step 5: Solve for x
    x = 68,962,557,199.46/263,274.30
  6. Step 6: Final answer
    x = 261,941.85

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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.