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Finding the Fourth Proportional to 512,110.65, 706,783.84 and 285,770.73

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Solution

The fourth proportional to 512,110.65, 706,783.84 and 285,770.73 is: 394,403.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,110.65 : 706,783.84 = 285,770.73 : x
  2. Step 2: Convert to fraction form
    512,110.65/706,783.84 = 285,770.73/x
  3. Step 3: Cross multiply
    512,110.65x = 706,783.84 × 285,770.73
  4. Step 4: Simplify right side
    512,110.65x = 201,978,133,909.00
  5. Step 5: Solve for x
    x = 201,978,133,909.00/512,110.65
  6. Step 6: Final answer
    x = 394,403.31

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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.