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Finding the Fourth Proportional to 395,766, 593,649 and 174,150

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Solution

The fourth proportional to 395,766, 593,649 and 174,150 is: 261,225

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,766 : 593,649 = 174,150 : x
  2. Step 2: Convert to fraction form
    395,766/593,649 = 174,150/x
  3. Step 3: Cross multiply
    395,766x = 593,649 × 174,150
  4. Step 4: Simplify right side
    395,766x = 103,383,973,350
  5. Step 5: Solve for x
    x = 103,383,973,350/395,766
  6. Step 6: Final answer
    x = 261,225

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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.