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Finding the Fourth Proportional to 515,897.94, 773,826.11 and 263,172.88

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Solution

The fourth proportional to 515,897.94, 773,826.11 and 263,172.88 is: 394,748.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,897.94 : 773,826.11 = 263,172.88 : x
  2. Step 2: Convert to fraction form
    515,897.94/773,826.11 = 263,172.88/x
  3. Step 3: Cross multiply
    515,897.94x = 773,826.11 × 263,172.88
  4. Step 4: Simplify right side
    515,897.94x = 203,650,046,626.21
  5. Step 5: Solve for x
    x = 203,650,046,626.21/515,897.94
  6. Step 6: Final answer
    x = 394,748.71

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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.