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Finding the Fourth Proportional to 395,704.12, 593,551 and 96,183.84

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Solution

The fourth proportional to 395,704.12, 593,551 and 96,183.84 is: 144,274.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,704.12 : 593,551 = 96,183.84 : x
  2. Step 2: Convert to fraction form
    395,704.12/593,551 = 96,183.84/x
  3. Step 3: Cross multiply
    395,704.12x = 593,551 × 96,183.84
  4. Step 4: Simplify right side
    395,704.12x = 57,090,014,415.84
  5. Step 5: Solve for x
    x = 57,090,014,415.84/395,704.12
  6. Step 6: Final answer
    x = 144,274.50

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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.