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Finding the Fourth Proportional to 344,895.86, 475,951.41 and 193,992.50

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Solution

The fourth proportional to 344,895.86, 475,951.41 and 193,992.50 is: 267,706.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,895.86 : 475,951.41 = 193,992.50 : x
  2. Step 2: Convert to fraction form
    344,895.86/475,951.41 = 193,992.50/x
  3. Step 3: Cross multiply
    344,895.86x = 475,951.41 × 193,992.50
  4. Step 4: Simplify right side
    344,895.86x = 92,331,003,904.43
  5. Step 5: Solve for x
    x = 92,331,003,904.43/344,895.86
  6. Step 6: Final answer
    x = 267,706.91

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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.