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Finding the Fourth Proportional to 376,104.40, 564,286.20 and 165,893.20

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Solution

The fourth proportional to 376,104.40, 564,286.20 and 165,893.20 is: 248,896.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,104.40 : 564,286.20 = 165,893.20 : x
  2. Step 2: Convert to fraction form
    376,104.40/564,286.20 = 165,893.20/x
  3. Step 3: Cross multiply
    376,104.40x = 564,286.20 × 165,893.20
  4. Step 4: Simplify right side
    376,104.40x = 93,611,243,433.84
  5. Step 5: Solve for x
    x = 93,611,243,433.84/376,104.40
  6. Step 6: Final answer
    x = 248,896.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.