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Finding the Fourth Proportional to 297,167.84, 409,991.84 and 169,753.20

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Solution

The fourth proportional to 297,167.84, 409,991.84 and 169,753.20 is: 234,202.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,167.84 : 409,991.84 = 169,753.20 : x
  2. Step 2: Convert to fraction form
    297,167.84/409,991.84 = 169,753.20/x
  3. Step 3: Cross multiply
    297,167.84x = 409,991.84 × 169,753.20
  4. Step 4: Simplify right side
    297,167.84x = 69,597,426,813.89
  5. Step 5: Solve for x
    x = 69,597,426,813.89/297,167.84
  6. Step 6: Final answer
    x = 234,202.42

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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.