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Finding the Fourth Proportional to 505,745.10, 758,520.45 and 150,770.70

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Solution

The fourth proportional to 505,745.10, 758,520.45 and 150,770.70 is: 226,127.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,745.10 : 758,520.45 = 150,770.70 : x
  2. Step 2: Convert to fraction form
    505,745.10/758,520.45 = 150,770.70/x
  3. Step 3: Cross multiply
    505,745.10x = 758,520.45 × 150,770.70
  4. Step 4: Simplify right side
    505,745.10x = 114,362,659,210.82
  5. Step 5: Solve for x
    x = 114,362,659,210.82/505,745.10
  6. Step 6: Final answer
    x = 226,127.07

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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.