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Finding the Fourth Proportional to 315,096.96, 471,535.20 and 196,824

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Solution

The fourth proportional to 315,096.96, 471,535.20 and 196,824 is: 294,542.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,096.96 : 471,535.20 = 196,824 : x
  2. Step 2: Convert to fraction form
    315,096.96/471,535.20 = 196,824/x
  3. Step 3: Cross multiply
    315,096.96x = 471,535.20 × 196,824
  4. Step 4: Simplify right side
    315,096.96x = 92,809,444,204.80
  5. Step 5: Solve for x
    x = 92,809,444,204.80/315,096.96
  6. Step 6: Final answer
    x = 294,542.49

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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.