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Finding the Fourth Proportional to 297,700.20, 410,817.78 and 161,728.20

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Solution

The fourth proportional to 297,700.20, 410,817.78 and 161,728.20 is: 223,180.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,700.20 : 410,817.78 = 161,728.20 : x
  2. Step 2: Convert to fraction form
    297,700.20/410,817.78 = 161,728.20/x
  3. Step 3: Cross multiply
    297,700.20x = 410,817.78 × 161,728.20
  4. Step 4: Simplify right side
    297,700.20x = 66,440,820,087.40
  5. Step 5: Solve for x
    x = 66,440,820,087.40/297,700.20
  6. Step 6: Final answer
    x = 223,180.30

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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.