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Finding the Fourth Proportional to 362,009.61, 499,573.26 and 200,865.81

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Solution

The fourth proportional to 362,009.61, 499,573.26 and 200,865.81 is: 277,194.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,009.61 : 499,573.26 = 200,865.81 : x
  2. Step 2: Convert to fraction form
    362,009.61/499,573.26 = 200,865.81/x
  3. Step 3: Cross multiply
    362,009.61x = 499,573.26 × 200,865.81
  4. Step 4: Simplify right side
    362,009.61x = 100,347,187,524.24
  5. Step 5: Solve for x
    x = 100,347,187,524.24/362,009.61
  6. Step 6: Final answer
    x = 277,194.82

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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.