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Finding the Fourth Proportional to 511,803.72, 767,804.01 and 196,236.03

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Solution

The fourth proportional to 511,803.72, 767,804.01 and 196,236.03 is: 294,391.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,803.72 : 767,804.01 = 196,236.03 : x
  2. Step 2: Convert to fraction form
    511,803.72/767,804.01 = 196,236.03/x
  3. Step 3: Cross multiply
    511,803.72x = 767,804.01 × 196,236.03
  4. Step 4: Simplify right side
    511,803.72x = 150,670,810,740.48
  5. Step 5: Solve for x
    x = 150,670,810,740.48/511,803.72
  6. Step 6: Final answer
    x = 294,391.79

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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.