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Finding the Fourth Proportional to 511,609.80, 766,977.12 and 196,293

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Solution

The fourth proportional to 511,609.80, 766,977.12 and 196,293 is: 294,271.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,609.80 : 766,977.12 = 196,293 : x
  2. Step 2: Convert to fraction form
    511,609.80/766,977.12 = 196,293/x
  3. Step 3: Cross multiply
    511,609.80x = 766,977.12 × 196,293
  4. Step 4: Simplify right side
    511,609.80x = 150,552,239,816.16
  5. Step 5: Solve for x
    x = 150,552,239,816.16/511,609.80
  6. Step 6: Final answer
    x = 294,271.61

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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.