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Finding the Fourth Proportional to 892,912.56, 1,231,872.03 and 505,639.05

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Solution

The fourth proportional to 892,912.56, 1,231,872.03 and 505,639.05 is: 697,585.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    892,912.56 : 1,231,872.03 = 505,639.05 : x
  2. Step 2: Convert to fraction form
    892,912.56/1,231,872.03 = 505,639.05/x
  3. Step 3: Cross multiply
    892,912.56x = 1,231,872.03 × 505,639.05
  4. Step 4: Simplify right side
    892,912.56x = 622,882,602,970.77
  5. Step 5: Solve for x
    x = 622,882,602,970.77/892,912.56
  6. Step 6: Final answer
    x = 697,585.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.