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Finding the Fourth Proportional to 682,952.16, 942,449.22 and 377,021.95

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Solution

The fourth proportional to 682,952.16, 942,449.22 and 377,021.95 is: 520,276.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,952.16 : 942,449.22 = 377,021.95 : x
  2. Step 2: Convert to fraction form
    682,952.16/942,449.22 = 377,021.95/x
  3. Step 3: Cross multiply
    682,952.16x = 942,449.22 × 377,021.95
  4. Step 4: Simplify right side
    682,952.16x = 355,324,040,815.27
  5. Step 5: Solve for x
    x = 355,324,040,815.27/682,952.16
  6. Step 6: Final answer
    x = 520,276.62

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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.