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Finding the Fourth Proportional to 362,081.30, 499,672.46 and 200,936.45

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Solution

The fourth proportional to 362,081.30, 499,672.46 and 200,936.45 is: 277,292.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,081.30 : 499,672.46 = 200,936.45 : x
  2. Step 2: Convert to fraction form
    362,081.30/499,672.46 = 200,936.45/x
  3. Step 3: Cross multiply
    362,081.30x = 499,672.46 × 200,936.45
  4. Step 4: Simplify right side
    362,081.30x = 100,402,412,026.69
  5. Step 5: Solve for x
    x = 100,402,412,026.69/362,081.30
  6. Step 6: Final answer
    x = 277,292.46

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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.