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Finding the Fourth Proportional to 301,596.50, 416,186.69 and 165,648.26

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Solution

The fourth proportional to 301,596.50, 416,186.69 and 165,648.26 is: 228,585.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,596.50 : 416,186.69 = 165,648.26 : x
  2. Step 2: Convert to fraction form
    301,596.50/416,186.69 = 165,648.26/x
  3. Step 3: Cross multiply
    301,596.50x = 416,186.69 × 165,648.26
  4. Step 4: Simplify right side
    301,596.50x = 68,940,598,124.48
  5. Step 5: Solve for x
    x = 68,940,598,124.48/301,596.50
  6. Step 6: Final answer
    x = 228,585.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.