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Finding the Fourth Proportional to 297,183.92, 409,805.48 and 254,305.31

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Solution

The fourth proportional to 297,183.92, 409,805.48 and 254,305.31 is: 350,677.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,183.92 : 409,805.48 = 254,305.31 : x
  2. Step 2: Convert to fraction form
    297,183.92/409,805.48 = 254,305.31/x
  3. Step 3: Cross multiply
    297,183.92x = 409,805.48 × 254,305.31
  4. Step 4: Simplify right side
    297,183.92x = 104,215,706,787.37
  5. Step 5: Solve for x
    x = 104,215,706,787.37/297,183.92
  6. Step 6: Final answer
    x = 350,677.47

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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.