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Finding the Fourth Proportional to 512,912.59, 769,590.28 and 276,208.11

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Solution

The fourth proportional to 512,912.59, 769,590.28 and 276,208.11 is: 414,431.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,912.59 : 769,590.28 = 276,208.11 : x
  2. Step 2: Convert to fraction form
    512,912.59/769,590.28 = 276,208.11/x
  3. Step 3: Cross multiply
    512,912.59x = 769,590.28 × 276,208.11
  4. Step 4: Simplify right side
    512,912.59x = 212,567,077,058.43
  5. Step 5: Solve for x
    x = 212,567,077,058.43/512,912.59
  6. Step 6: Final answer
    x = 414,431.39

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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.