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Finding the Fourth Proportional to 301,635.89, 416,262.54 and 165,682.42

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Solution

The fourth proportional to 301,635.89, 416,262.54 and 165,682.42 is: 228,644.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,635.89 : 416,262.54 = 165,682.42 : x
  2. Step 2: Convert to fraction form
    301,635.89/416,262.54 = 165,682.42/x
  3. Step 3: Cross multiply
    301,635.89x = 416,262.54 × 165,682.42
  4. Step 4: Simplify right side
    301,635.89x = 68,967,384,563.20
  5. Step 5: Solve for x
    x = 68,967,384,563.20/301,635.89
  6. Step 6: Final answer
    x = 228,644.49

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1.5x scale

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.