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Finding the Fourth Proportional to 675,014.64, 1,012,667.76 and 201,738.12

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Solution

The fourth proportional to 675,014.64, 1,012,667.76 and 201,738.12 is: 302,650.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    675,014.64 : 1,012,667.76 = 201,738.12 : x
  2. Step 2: Convert to fraction form
    675,014.64/1,012,667.76 = 201,738.12/x
  3. Step 3: Cross multiply
    675,014.64x = 1,012,667.76 × 201,738.12
  4. Step 4: Simplify right side
    675,014.64x = 204,293,690,087.01
  5. Step 5: Solve for x
    x = 204,293,690,087.01/675,014.64
  6. Step 6: Final answer
    x = 302,650.75

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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.