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Finding the Fourth Proportional to 412,286.72, 618,440.16 and 233,516.48

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Solution

The fourth proportional to 412,286.72, 618,440.16 and 233,516.48 is: 350,280.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,286.72 : 618,440.16 = 233,516.48 : x
  2. Step 2: Convert to fraction form
    412,286.72/618,440.16 = 233,516.48/x
  3. Step 3: Cross multiply
    412,286.72x = 618,440.16 × 233,516.48
  4. Step 4: Simplify right side
    412,286.72x = 144,415,969,253.84
  5. Step 5: Solve for x
    x = 144,415,969,253.84/412,286.72
  6. Step 6: Final answer
    x = 350,280.43

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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.