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Finding the Fourth Proportional to 392,067.96, 588,150.54 and 111,607.08

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Solution

The fourth proportional to 392,067.96, 588,150.54 and 111,607.08 is: 167,424.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,067.96 : 588,150.54 = 111,607.08 : x
  2. Step 2: Convert to fraction form
    392,067.96/588,150.54 = 111,607.08/x
  3. Step 3: Cross multiply
    392,067.96x = 588,150.54 × 111,607.08
  4. Step 4: Simplify right side
    392,067.96x = 65,641,764,369.82
  5. Step 5: Solve for x
    x = 65,641,764,369.82/392,067.96
  6. Step 6: Final answer
    x = 167,424.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.