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Finding the Fourth Proportional to 511,977.67, 768,309.30 and 212,458.54

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Solution

The fourth proportional to 511,977.67, 768,309.30 and 212,458.54 is: 318,830.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,977.67 : 768,309.30 = 212,458.54 : x
  2. Step 2: Convert to fraction form
    511,977.67/768,309.30 = 212,458.54/x
  3. Step 3: Cross multiply
    511,977.67x = 768,309.30 × 212,458.54
  4. Step 4: Simplify right side
    511,977.67x = 163,233,868,304.88
  5. Step 5: Solve for x
    x = 163,233,868,304.88/511,977.67
  6. Step 6: Final answer
    x = 318,830.06

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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.