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Finding the Fourth Proportional to 274,933.44, 412,464.70 and 85,384.02

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Solution

The fourth proportional to 274,933.44, 412,464.70 and 85,384.02 is: 128,096.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,933.44 : 412,464.70 = 85,384.02 : x
  2. Step 2: Convert to fraction form
    274,933.44/412,464.70 = 85,384.02/x
  3. Step 3: Cross multiply
    274,933.44x = 412,464.70 × 85,384.02
  4. Step 4: Simplify right side
    274,933.44x = 35,217,894,194.09
  5. Step 5: Solve for x
    x = 35,217,894,194.09/274,933.44
  6. Step 6: Final answer
    x = 128,096.07

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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.