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Finding the Fourth Proportional to 297,297.62, 410,268.57 and 161,328.14

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Solution

The fourth proportional to 297,297.62, 410,268.57 and 161,328.14 is: 222,631.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,297.62 : 410,268.57 = 161,328.14 : x
  2. Step 2: Convert to fraction form
    297,297.62/410,268.57 = 161,328.14/x
  3. Step 3: Cross multiply
    297,297.62x = 410,268.57 × 161,328.14
  4. Step 4: Simplify right side
    297,297.62x = 66,187,865,298.56
  5. Step 5: Solve for x
    x = 66,187,865,298.56/297,297.62
  6. Step 6: Final answer
    x = 222,631.67

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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.