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Finding the Fourth Proportional to 511,801.68, 767,800.92 and 196,233.98

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Solution

The fourth proportional to 511,801.68, 767,800.92 and 196,233.98 is: 294,388.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,801.68 : 767,800.92 = 196,233.98 : x
  2. Step 2: Convert to fraction form
    511,801.68/767,800.92 = 196,233.98/x
  3. Step 3: Cross multiply
    511,801.68x = 767,800.92 × 196,233.98
  4. Step 4: Simplify right side
    511,801.68x = 150,668,626,540.26
  5. Step 5: Solve for x
    x = 150,668,626,540.26/511,801.68
  6. Step 6: Final answer
    x = 294,388.69

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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.