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Finding the Fourth Proportional to 297,014.97, 409,880.22 and 161,048.67

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Solution

The fourth proportional to 297,014.97, 409,880.22 and 161,048.67 is: 222,246.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,014.97 : 409,880.22 = 161,048.67 : x
  2. Step 2: Convert to fraction form
    297,014.97/409,880.22 = 161,048.67/x
  3. Step 3: Cross multiply
    297,014.97x = 409,880.22 × 161,048.67
  4. Step 4: Simplify right side
    297,014.97x = 66,010,664,290.31
  5. Step 5: Solve for x
    x = 66,010,664,290.31/297,014.97
  6. Step 6: Final answer
    x = 222,246.93

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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.