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Finding the Fourth Proportional to 297,383.25, 410,382.39 and 161,417.46

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Solution

The fourth proportional to 297,383.25, 410,382.39 and 161,417.46 is: 222,752.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,383.25 : 410,382.39 = 161,417.46 : x
  2. Step 2: Convert to fraction form
    297,383.25/410,382.39 = 161,417.46/x
  3. Step 3: Cross multiply
    297,383.25x = 410,382.39 × 161,417.46
  4. Step 4: Simplify right side
    297,383.25x = 66,242,883,022.53
  5. Step 5: Solve for x
    x = 66,242,883,022.53/297,383.25
  6. Step 6: Final answer
    x = 222,752.57

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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.