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Finding the Fourth Proportional to 274,933.85, 412,400.43 and 75,255.89

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Solution

The fourth proportional to 274,933.85, 412,400.43 and 75,255.89 is: 112,883.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,933.85 : 412,400.43 = 75,255.89 : x
  2. Step 2: Convert to fraction form
    274,933.85/412,400.43 = 75,255.89/x
  3. Step 3: Cross multiply
    274,933.85x = 412,400.43 × 75,255.89
  4. Step 4: Simplify right side
    274,933.85x = 31,035,559,334.03
  5. Step 5: Solve for x
    x = 31,035,559,334.03/274,933.85
  6. Step 6: Final answer
    x = 112,883.74

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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.