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Finding the Fourth Proportional to 259,739.20, 389,608.80 and 259,739.20

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Solution

The fourth proportional to 259,739.20, 389,608.80 and 259,739.20 is: 389,608.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,739.20 : 389,608.80 = 259,739.20 : x
  2. Step 2: Convert to fraction form
    259,739.20/389,608.80 = 259,739.20/x
  3. Step 3: Cross multiply
    259,739.20x = 389,608.80 × 259,739.20
  4. Step 4: Simplify right side
    259,739.20x = 101,196,678,024.96
  5. Step 5: Solve for x
    x = 101,196,678,024.96/259,739.20
  6. Step 6: Final answer
    x = 389,608.80

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