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Finding the Fourth Proportional to 364,142.56, 502,546.65 and 200,831.01

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Solution

The fourth proportional to 364,142.56, 502,546.65 and 200,831.01 is: 277,163.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,142.56 : 502,546.65 = 200,831.01 : x
  2. Step 2: Convert to fraction form
    364,142.56/502,546.65 = 200,831.01/x
  3. Step 3: Cross multiply
    364,142.56x = 502,546.65 × 200,831.01
  4. Step 4: Simplify right side
    364,142.56x = 100,926,951,291.62
  5. Step 5: Solve for x
    x = 100,926,951,291.62/364,142.56
  6. Step 6: Final answer
    x = 277,163.29

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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.