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Finding the Fourth Proportional to 966,000.20, 1,449,000.30 and 611,414.60

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Solution

The fourth proportional to 966,000.20, 1,449,000.30 and 611,414.60 is: 917,121.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    966,000.20 : 1,449,000.30 = 611,414.60 : x
  2. Step 2: Convert to fraction form
    966,000.20/1,449,000.30 = 611,414.60/x
  3. Step 3: Cross multiply
    966,000.20x = 1,449,000.30 × 611,414.60
  4. Step 4: Simplify right side
    966,000.20x = 885,939,938,824.38
  5. Step 5: Solve for x
    x = 885,939,938,824.38/966,000.20
  6. Step 6: Final answer
    x = 917,121.90

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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.