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Finding the Fourth Proportional to 297,299.12, 410,270.64 and 161,329.64

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Solution

The fourth proportional to 297,299.12, 410,270.64 and 161,329.64 is: 222,633.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,299.12 : 410,270.64 = 161,329.64 : x
  2. Step 2: Convert to fraction form
    297,299.12/410,270.64 = 161,329.64/x
  3. Step 3: Cross multiply
    297,299.12x = 410,270.64 × 161,329.64
  4. Step 4: Simplify right side
    297,299.12x = 66,188,814,653.77
  5. Step 5: Solve for x
    x = 66,188,814,653.77/297,299.12
  6. Step 6: Final answer
    x = 222,633.74

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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.