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Finding the Fourth Proportional to 511,292.70, 767,028.15 and 211,608.90

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Solution

The fourth proportional to 511,292.70, 767,028.15 and 211,608.90 is: 317,450.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,292.70 : 767,028.15 = 211,608.90 : x
  2. Step 2: Convert to fraction form
    511,292.70/767,028.15 = 211,608.90/x
  3. Step 3: Cross multiply
    511,292.70x = 767,028.15 × 211,608.90
  4. Step 4: Simplify right side
    511,292.70x = 162,309,983,090.54
  5. Step 5: Solve for x
    x = 162,309,983,090.54/511,292.70
  6. Step 6: Final answer
    x = 317,450.23

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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.