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Finding the Fourth Proportional to 1,286,097.98, 1,929,548.52 and 774,324.18

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Solution

The fourth proportional to 1,286,097.98, 1,929,548.52 and 774,324.18 is: 1,161,728.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286,097.98 : 1,929,548.52 = 774,324.18 : x
  2. Step 2: Convert to fraction form
    1,286,097.98/1,929,548.52 = 774,324.18/x
  3. Step 3: Cross multiply
    1,286,097.98x = 1,929,548.52 × 774,324.18
  4. Step 4: Simplify right side
    1,286,097.98x = 1,494,096,075,519.21
  5. Step 5: Solve for x
    x = 1,494,096,075,519.21/1,286,097.98
  6. Step 6: Final answer
    x = 1,161,728.04

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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.