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Finding the Fourth Proportional to 322,610, 445,201.80 and 181,298

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Solution

The fourth proportional to 322,610, 445,201.80 and 181,298 is: 250,191.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,610 : 445,201.80 = 181,298 : x
  2. Step 2: Convert to fraction form
    322,610/445,201.80 = 181,298/x
  3. Step 3: Cross multiply
    322,610x = 445,201.80 × 181,298
  4. Step 4: Simplify right side
    322,610x = 80,714,195,936.40
  5. Step 5: Solve for x
    x = 80,714,195,936.40/322,610
  6. Step 6: Final answer
    x = 250,191.24

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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.