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Finding the Fourth Proportional to 365,958.96, 548,657.02 and 185,896.42

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Solution

The fourth proportional to 365,958.96, 548,657.02 and 185,896.42 is: 278,701.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,958.96 : 548,657.02 = 185,896.42 : x
  2. Step 2: Convert to fraction form
    365,958.96/548,657.02 = 185,896.42/x
  3. Step 3: Cross multiply
    365,958.96x = 548,657.02 × 185,896.42
  4. Step 4: Simplify right side
    365,958.96x = 101,993,375,825.87
  5. Step 5: Solve for x
    x = 101,993,375,825.87/365,958.96
  6. Step 6: Final answer
    x = 278,701.68

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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.