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Finding the Fourth Proportional to 297,378.63, 410,382.90 and 161,412.60

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Solution

The fourth proportional to 297,378.63, 410,382.90 and 161,412.60 is: 222,749.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,378.63 : 410,382.90 = 161,412.60 : x
  2. Step 2: Convert to fraction form
    297,378.63/410,382.90 = 161,412.60/x
  3. Step 3: Cross multiply
    297,378.63x = 410,382.90 × 161,412.60
  4. Step 4: Simplify right side
    297,378.63x = 66,240,970,884.54
  5. Step 5: Solve for x
    x = 66,240,970,884.54/297,378.63
  6. Step 6: Final answer
    x = 222,749.60

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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.