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Finding the Fourth Proportional to 682,829.94, 942,682.74 and 410,964.57

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Solution

The fourth proportional to 682,829.94, 942,682.74 and 410,964.57 is: 567,358.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,829.94 : 942,682.74 = 410,964.57 : x
  2. Step 2: Convert to fraction form
    682,829.94/942,682.74 = 410,964.57/x
  3. Step 3: Cross multiply
    682,829.94x = 942,682.74 × 410,964.57
  4. Step 4: Simplify right side
    682,829.94x = 387,409,206,890.52
  5. Step 5: Solve for x
    x = 387,409,206,890.52/682,829.94
  6. Step 6: Final answer
    x = 567,358.26

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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.