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Finding the Fourth Proportional to 297,798.60, 410,960.71 and 161,829.97

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Solution

The fourth proportional to 297,798.60, 410,960.71 and 161,829.97 is: 223,324.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,798.60 : 410,960.71 = 161,829.97 : x
  2. Step 2: Convert to fraction form
    297,798.60/410,960.71 = 161,829.97/x
  3. Step 3: Cross multiply
    297,798.60x = 410,960.71 × 161,829.97
  4. Step 4: Simplify right side
    297,798.60x = 66,505,761,160.45
  5. Step 5: Solve for x
    x = 66,505,761,160.45/297,798.60
  6. Step 6: Final answer
    x = 223,324.63

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1.5x scale

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.