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Finding the Fourth Proportional to 967,059, 1,450,504.94 and 327,349.02

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Solution

The fourth proportional to 967,059, 1,450,504.94 and 327,349.02 is: 490,995.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    967,059 : 1,450,504.94 = 327,349.02 : x
  2. Step 2: Convert to fraction form
    967,059/1,450,504.94 = 327,349.02/x
  3. Step 3: Cross multiply
    967,059x = 1,450,504.94 × 327,349.02
  4. Step 4: Simplify right side
    967,059x = 474,821,368,977.41
  5. Step 5: Solve for x
    x = 474,821,368,977.41/967,059
  6. Step 6: Final answer
    x = 490,995.24

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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.