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Finding the Fourth Proportional to 297,096.39, 409,993.68 and 169,771.68

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Solution

The fourth proportional to 297,096.39, 409,993.68 and 169,771.68 is: 234,285.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,096.39 : 409,993.68 = 169,771.68 : x
  2. Step 2: Convert to fraction form
    297,096.39/409,993.68 = 169,771.68/x
  3. Step 3: Cross multiply
    297,096.39x = 409,993.68 × 169,771.68
  4. Step 4: Simplify right side
    297,096.39x = 69,605,315,842.98
  5. Step 5: Solve for x
    x = 69,605,315,842.98/297,096.39
  6. Step 6: Final answer
    x = 234,285.30

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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.