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Finding the Fourth Proportional to 303,894.94, 455,976.06 and 161,706.73

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Solution

The fourth proportional to 303,894.94, 455,976.06 and 161,706.73 is: 242,631.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,894.94 : 455,976.06 = 161,706.73 : x
  2. Step 2: Convert to fraction form
    303,894.94/455,976.06 = 161,706.73/x
  3. Step 3: Cross multiply
    303,894.94x = 455,976.06 × 161,706.73
  4. Step 4: Simplify right side
    303,894.94x = 73,734,397,620.88
  5. Step 5: Solve for x
    x = 73,734,397,620.88/303,894.94
  6. Step 6: Final answer
    x = 242,631.21

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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.