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Finding the Fourth Proportional to 293,263.44, 404,703.60 and 165,936.48

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Solution

The fourth proportional to 293,263.44, 404,703.60 and 165,936.48 is: 228,992.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,263.44 : 404,703.60 = 165,936.48 : x
  2. Step 2: Convert to fraction form
    293,263.44/404,703.60 = 165,936.48/x
  3. Step 3: Cross multiply
    293,263.44x = 404,703.60 × 165,936.48
  4. Step 4: Simplify right side
    293,263.44x = 67,155,090,827.33
  5. Step 5: Solve for x
    x = 67,155,090,827.33/293,263.44
  6. Step 6: Final answer
    x = 228,992.37

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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.