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Finding the Fourth Proportional to 654,866.48, 982,677 and 275,757.68

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Solution

The fourth proportional to 654,866.48, 982,677 and 275,757.68 is: 413,795.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,866.48 : 982,677 = 275,757.68 : x
  2. Step 2: Convert to fraction form
    654,866.48/982,677 = 275,757.68/x
  3. Step 3: Cross multiply
    654,866.48x = 982,677 × 275,757.68
  4. Step 4: Simplify right side
    654,866.48x = 270,980,729,709.36
  5. Step 5: Solve for x
    x = 270,980,729,709.36/654,866.48
  6. Step 6: Final answer
    x = 413,795.39

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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.