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Finding the Fourth Proportional to 334,188, 461,201.31 and 183,285

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Solution

The fourth proportional to 334,188, 461,201.31 and 183,285 is: 252,945.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,188 : 461,201.31 = 183,285 : x
  2. Step 2: Convert to fraction form
    334,188/461,201.31 = 183,285/x
  3. Step 3: Cross multiply
    334,188x = 461,201.31 × 183,285
  4. Step 4: Simplify right side
    334,188x = 84,531,282,103.35
  5. Step 5: Solve for x
    x = 84,531,282,103.35/334,188
  6. Step 6: Final answer
    x = 252,945.29

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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.