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Finding the Fourth Proportional to 310,951.88, 466,409.27 and 182,940.09

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Solution

The fourth proportional to 310,951.88, 466,409.27 and 182,940.09 is: 274,399.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,951.88 : 466,409.27 = 182,940.09 : x
  2. Step 2: Convert to fraction form
    310,951.88/466,409.27 = 182,940.09/x
  3. Step 3: Cross multiply
    310,951.88x = 466,409.27 × 182,940.09
  4. Step 4: Simplify right side
    310,951.88x = 85,324,952,915.93
  5. Step 5: Solve for x
    x = 85,324,952,915.93/310,951.88
  6. Step 6: Final answer
    x = 274,399.22

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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.