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Finding the Fourth Proportional to 296,614.40, 445,067.40 and 138,815.60

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Solution

The fourth proportional to 296,614.40, 445,067.40 and 138,815.60 is: 208,291.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,614.40 : 445,067.40 = 138,815.60 : x
  2. Step 2: Convert to fraction form
    296,614.40/445,067.40 = 138,815.60/x
  3. Step 3: Cross multiply
    296,614.40x = 445,067.40 × 138,815.60
  4. Step 4: Simplify right side
    296,614.40x = 61,782,298,171.44
  5. Step 5: Solve for x
    x = 61,782,298,171.44/296,614.40
  6. Step 6: Final answer
    x = 208,291.63

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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.