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Finding the Fourth Proportional to 511,941.36, 706,476.96 and 285,586.56

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Solution

The fourth proportional to 511,941.36, 706,476.96 and 285,586.56 is: 394,108.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,941.36 : 706,476.96 = 285,586.56 : x
  2. Step 2: Convert to fraction form
    511,941.36/706,476.96 = 285,586.56/x
  3. Step 3: Cross multiply
    511,941.36x = 706,476.96 × 285,586.56
  4. Step 4: Simplify right side
    511,941.36x = 201,760,324,725.66
  5. Step 5: Solve for x
    x = 201,760,324,725.66/511,941.36
  6. Step 6: Final answer
    x = 394,108.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.