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Finding the Fourth Proportional to 362,014.14, 499,571.91 and 200,865.72

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Solution

The fourth proportional to 362,014.14, 499,571.91 and 200,865.72 is: 277,190.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,014.14 : 499,571.91 = 200,865.72 : x
  2. Step 2: Convert to fraction form
    362,014.14/499,571.91 = 200,865.72/x
  3. Step 3: Cross multiply
    362,014.14x = 499,571.91 × 200,865.72
  4. Step 4: Simplify right side
    362,014.14x = 100,346,871,393.93
  5. Step 5: Solve for x
    x = 100,346,871,393.93/362,014.14
  6. Step 6: Final answer
    x = 277,190.47

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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.