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Finding the Fourth Proportional to 297,797.92, 410,959.78 and 161,829.29

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Solution

The fourth proportional to 297,797.92, 410,959.78 and 161,829.29 is: 223,323.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,797.92 : 410,959.78 = 161,829.29 : x
  2. Step 2: Convert to fraction form
    297,797.92/410,959.78 = 161,829.29/x
  3. Step 3: Cross multiply
    297,797.92x = 410,959.78 × 161,829.29
  4. Step 4: Simplify right side
    297,797.92x = 66,505,330,038.78
  5. Step 5: Solve for x
    x = 66,505,330,038.78/297,797.92
  6. Step 6: Final answer
    x = 223,323.69

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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.