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Finding the Fourth Proportional to 295,778.55, 443,742.63 and 82,546.42

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Solution

The fourth proportional to 295,778.55, 443,742.63 and 82,546.42 is: 123,840.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,778.55 : 443,742.63 = 82,546.42 : x
  2. Step 2: Convert to fraction form
    295,778.55/443,742.63 = 82,546.42/x
  3. Step 3: Cross multiply
    295,778.55x = 443,742.63 × 82,546.42
  4. Step 4: Simplify right side
    295,778.55x = 36,629,365,507.88
  5. Step 5: Solve for x
    x = 36,629,365,507.88/295,778.55
  6. Step 6: Final answer
    x = 123,840.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.