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Finding the Fourth Proportional to 548,879.76, 823,318.70 and 282,716.37

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Solution

The fourth proportional to 548,879.76, 823,318.70 and 282,716.37 is: 424,074.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,879.76 : 823,318.70 = 282,716.37 : x
  2. Step 2: Convert to fraction form
    548,879.76/823,318.70 = 282,716.37/x
  3. Step 3: Cross multiply
    548,879.76x = 823,318.70 × 282,716.37
  4. Step 4: Simplify right side
    548,879.76x = 232,765,672,803.54
  5. Step 5: Solve for x
    x = 232,765,672,803.54/548,879.76
  6. Step 6: Final answer
    x = 424,074.07

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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.