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Finding the Fourth Proportional to 297,670.43, 410,783.55 and 161,703.27

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Solution

The fourth proportional to 297,670.43, 410,783.55 and 161,703.27 is: 223,149.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,670.43 : 410,783.55 = 161,703.27 : x
  2. Step 2: Convert to fraction form
    297,670.43/410,783.55 = 161,703.27/x
  3. Step 3: Cross multiply
    297,670.43x = 410,783.55 × 161,703.27
  4. Step 4: Simplify right side
    297,670.43x = 66,425,043,297.21
  5. Step 5: Solve for x
    x = 66,425,043,297.21/297,670.43
  6. Step 6: Final answer
    x = 223,149.62

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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.