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Finding the Fourth Proportional to 511,936.26, 706,423.05 and 285,596.34

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Solution

The fourth proportional to 511,936.26, 706,423.05 and 285,596.34 is: 394,095.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,936.26 : 706,423.05 = 285,596.34 : x
  2. Step 2: Convert to fraction form
    511,936.26/706,423.05 = 285,596.34/x
  3. Step 3: Cross multiply
    511,936.26x = 706,423.05 × 285,596.34
  4. Step 4: Simplify right side
    511,936.26x = 201,751,837,571.64
  5. Step 5: Solve for x
    x = 201,751,837,571.64/511,936.26
  6. Step 6: Final answer
    x = 394,095.62

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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.