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Finding the Fourth Proportional to 301,893.80, 416,623.42 and 165,932.60

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Solution

The fourth proportional to 301,893.80, 416,623.42 and 165,932.60 is: 228,992.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,893.80 : 416,623.42 = 165,932.60 : x
  2. Step 2: Convert to fraction form
    301,893.80/416,623.42 = 165,932.60/x
  3. Step 3: Cross multiply
    301,893.80x = 416,623.42 × 165,932.60
  4. Step 4: Simplify right side
    301,893.80x = 69,131,407,301.49
  5. Step 5: Solve for x
    x = 69,131,407,301.49/301,893.80
  6. Step 6: Final answer
    x = 228,992.47

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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.