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Finding the Fourth Proportional to 598,912.40, 826,638 and 394,999.76

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Solution

The fourth proportional to 598,912.40, 826,638 and 394,999.76 is: 545,191.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,912.40 : 826,638 = 394,999.76 : x
  2. Step 2: Convert to fraction form
    598,912.40/826,638 = 394,999.76/x
  3. Step 3: Cross multiply
    598,912.40x = 826,638 × 394,999.76
  4. Step 4: Simplify right side
    598,912.40x = 326,521,811,606.88
  5. Step 5: Solve for x
    x = 326,521,811,606.88/598,912.40
  6. Step 6: Final answer
    x = 545,191.27

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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.