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Finding the Fourth Proportional to 682,568, 941,827.20 and 396,022.40

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Solution

The fourth proportional to 682,568, 941,827.20 and 396,022.40 is: 546,443.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,568 : 941,827.20 = 396,022.40 : x
  2. Step 2: Convert to fraction form
    682,568/941,827.20 = 396,022.40/x
  3. Step 3: Cross multiply
    682,568x = 941,827.20 × 396,022.40
  4. Step 4: Simplify right side
    682,568x = 372,984,668,129.28
  5. Step 5: Solve for x
    x = 372,984,668,129.28/682,568
  6. Step 6: Final answer
    x = 546,443.24

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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.