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Finding the Fourth Proportional to 384,000.20, 576,288.30 and 196,915.40

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Solution

The fourth proportional to 384,000.20, 576,288.30 and 196,915.40 is: 295,520.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,000.20 : 576,288.30 = 196,915.40 : x
  2. Step 2: Convert to fraction form
    384,000.20/576,288.30 = 196,915.40/x
  3. Step 3: Cross multiply
    384,000.20x = 576,288.30 × 196,915.40
  4. Step 4: Simplify right side
    384,000.20x = 113,480,041,109.82
  5. Step 5: Solve for x
    x = 113,480,041,109.82/384,000.20
  6. Step 6: Final answer
    x = 295,520.79

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