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Finding the Fourth Proportional to 276,000.20, 414,000.30 and 200,767.40

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Solution

The fourth proportional to 276,000.20, 414,000.30 and 200,767.40 is: 301,151.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,000.20 : 414,000.30 = 200,767.40 : x
  2. Step 2: Convert to fraction form
    276,000.20/414,000.30 = 200,767.40/x
  3. Step 3: Cross multiply
    276,000.20x = 414,000.30 × 200,767.40
  4. Step 4: Simplify right side
    276,000.20x = 83,117,763,830.22
  5. Step 5: Solve for x
    x = 83,117,763,830.22/276,000.20
  6. Step 6: Final answer
    x = 301,151.10

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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.