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Finding the Fourth Proportional to 682,822.56, 942,390 and 381,036

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Solution

The fourth proportional to 682,822.56, 942,390 and 381,036 is: 525,882.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,822.56 : 942,390 = 381,036 : x
  2. Step 2: Convert to fraction form
    682,822.56/942,390 = 381,036/x
  3. Step 3: Cross multiply
    682,822.56x = 942,390 × 381,036
  4. Step 4: Simplify right side
    682,822.56x = 359,084,516,040
  5. Step 5: Solve for x
    x = 359,084,516,040/682,822.56
  6. Step 6: Final answer
    x = 525,882.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.