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Finding the Fourth Proportional to 299,364, 413,122.86 and 165,228

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Solution

The fourth proportional to 299,364, 413,122.86 and 165,228 is: 228,014.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,364 : 413,122.86 = 165,228 : x
  2. Step 2: Convert to fraction form
    299,364/413,122.86 = 165,228/x
  3. Step 3: Cross multiply
    299,364x = 413,122.86 × 165,228
  4. Step 4: Simplify right side
    299,364x = 68,259,463,912.08
  5. Step 5: Solve for x
    x = 68,259,463,912.08/299,364
  6. Step 6: Final answer
    x = 228,014.94

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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.