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Finding the Fourth Proportional to 301,690.34, 416,335.31 and 165,727.05

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Solution

The fourth proportional to 301,690.34, 416,335.31 and 165,727.05 is: 228,704.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,690.34 : 416,335.31 = 165,727.05 : x
  2. Step 2: Convert to fraction form
    301,690.34/416,335.31 = 165,727.05/x
  3. Step 3: Cross multiply
    301,690.34x = 416,335.31 × 165,727.05
  4. Step 4: Simplify right side
    301,690.34x = 68,998,021,908.50
  5. Step 5: Solve for x
    x = 68,998,021,908.50/301,690.34
  6. Step 6: Final answer
    x = 228,704.78

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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.