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Finding the Fourth Proportional to 401,067.74, 601,602.42 and 164,367.92

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Solution

The fourth proportional to 401,067.74, 601,602.42 and 164,367.92 is: 246,552.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,067.74 : 601,602.42 = 164,367.92 : x
  2. Step 2: Convert to fraction form
    401,067.74/601,602.42 = 164,367.92/x
  3. Step 3: Cross multiply
    401,067.74x = 601,602.42 × 164,367.92
  4. Step 4: Simplify right side
    401,067.74x = 98,884,138,442.37
  5. Step 5: Solve for x
    x = 98,884,138,442.37/401,067.74
  6. Step 6: Final answer
    x = 246,552.21

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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.