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Finding the Fourth Proportional to 300,739.68, 450,968.22 and 174,415.80

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Solution

The fourth proportional to 300,739.68, 450,968.22 and 174,415.80 is: 261,541.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,739.68 : 450,968.22 = 174,415.80 : x
  2. Step 2: Convert to fraction form
    300,739.68/450,968.22 = 174,415.80/x
  3. Step 3: Cross multiply
    300,739.68x = 450,968.22 × 174,415.80
  4. Step 4: Simplify right side
    300,739.68x = 78,655,982,865.88
  5. Step 5: Solve for x
    x = 78,655,982,865.88/300,739.68
  6. Step 6: Final answer
    x = 261,541.75

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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.