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Finding the Fourth Proportional to 511,811.67, 767,815.92 and 196,243.95

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Solution

The fourth proportional to 511,811.67, 767,815.92 and 196,243.95 is: 294,403.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,811.67 : 767,815.92 = 196,243.95 : x
  2. Step 2: Convert to fraction form
    511,811.67/767,815.92 = 196,243.95/x
  3. Step 3: Cross multiply
    511,811.67x = 767,815.92 × 196,243.95
  4. Step 4: Simplify right side
    511,811.67x = 150,679,229,013.68
  5. Step 5: Solve for x
    x = 150,679,229,013.68/511,811.67
  6. Step 6: Final answer
    x = 294,403.66

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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.