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Finding the Fourth Proportional to 264,003.70, 395,314.35 and 193,501.30

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Solution

The fourth proportional to 264,003.70, 395,314.35 and 193,501.30 is: 289,745.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,003.70 : 395,314.35 = 193,501.30 : x
  2. Step 2: Convert to fraction form
    264,003.70/395,314.35 = 193,501.30/x
  3. Step 3: Cross multiply
    264,003.70x = 395,314.35 × 193,501.30
  4. Step 4: Simplify right side
    264,003.70x = 76,493,840,633.66
  5. Step 5: Solve for x
    x = 76,493,840,633.66/264,003.70
  6. Step 6: Final answer
    x = 289,745.34

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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.