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Finding the Fourth Proportional to 344,295.45, 475,054.01 and 200,990.45

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Solution

The fourth proportional to 344,295.45, 475,054.01 and 200,990.45 is: 277,323.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,295.45 : 475,054.01 = 200,990.45 : x
  2. Step 2: Convert to fraction form
    344,295.45/475,054.01 = 200,990.45/x
  3. Step 3: Cross multiply
    344,295.45x = 475,054.01 × 200,990.45
  4. Step 4: Simplify right side
    344,295.45x = 95,481,315,863.98
  5. Step 5: Solve for x
    x = 95,481,315,863.98/344,295.45
  6. Step 6: Final answer
    x = 277,323.78

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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.