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Finding the Fourth Proportional to 297,045.80, 409,885.44 and 169,729.64

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Solution

The fourth proportional to 297,045.80, 409,885.44 and 169,729.64 is: 234,205.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,045.80 : 409,885.44 = 169,729.64 : x
  2. Step 2: Convert to fraction form
    297,045.80/409,885.44 = 169,729.64/x
  3. Step 3: Cross multiply
    297,045.80x = 409,885.44 × 169,729.64
  4. Step 4: Simplify right side
    297,045.80x = 69,569,708,172.44
  5. Step 5: Solve for x
    x = 69,569,708,172.44/297,045.80
  6. Step 6: Final answer
    x = 234,205.33

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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.