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Finding the Fourth Proportional to 650,968.29, 976,096.49 and 516,893.61

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Solution

The fourth proportional to 650,968.29, 976,096.49 and 516,893.61 is: 775,057.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,968.29 : 976,096.49 = 516,893.61 : x
  2. Step 2: Convert to fraction form
    650,968.29/976,096.49 = 516,893.61/x
  3. Step 3: Cross multiply
    650,968.29x = 976,096.49 × 516,893.61
  4. Step 4: Simplify right side
    650,968.29x = 504,538,035,839.96
  5. Step 5: Solve for x
    x = 504,538,035,839.96/650,968.29
  6. Step 6: Final answer
    x = 775,057.78

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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.