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Finding the Fourth Proportional to 392,458.83, 541,667.84 and 222,708.75

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Solution

The fourth proportional to 392,458.83, 541,667.84 and 222,708.75 is: 307,380.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,458.83 : 541,667.84 = 222,708.75 : x
  2. Step 2: Convert to fraction form
    392,458.83/541,667.84 = 222,708.75/x
  3. Step 3: Cross multiply
    392,458.83x = 541,667.84 × 222,708.75
  4. Step 4: Simplify right side
    392,458.83x = 120,634,166,448.06
  5. Step 5: Solve for x
    x = 120,634,166,448.06/392,458.83
  6. Step 6: Final answer
    x = 307,380.44

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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.