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Finding the Fourth Proportional to 548,930.30, 823,237.43 and 189,086.60

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Solution

The fourth proportional to 548,930.30, 823,237.43 and 189,086.60 is: 283,575.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,930.30 : 823,237.43 = 189,086.60 : x
  2. Step 2: Convert to fraction form
    548,930.30/823,237.43 = 189,086.60/x
  3. Step 3: Cross multiply
    548,930.30x = 823,237.43 × 189,086.60
  4. Step 4: Simplify right side
    548,930.30x = 155,663,161,569.82
  5. Step 5: Solve for x
    x = 155,663,161,569.82/548,930.30
  6. Step 6: Final answer
    x = 283,575.46

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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.