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Finding the Fourth Proportional to 652,812.17, 978,512.00 and 273,938.72

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Solution

The fourth proportional to 652,812.17, 978,512.00 and 273,938.72 is: 410,611.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,812.17 : 978,512.00 = 273,938.72 : x
  2. Step 2: Convert to fraction form
    652,812.17/978,512.00 = 273,938.72/x
  3. Step 3: Cross multiply
    652,812.17x = 978,512.00 × 273,938.72
  4. Step 4: Simplify right side
    652,812.17x = 268,052,318,522.39
  5. Step 5: Solve for x
    x = 268,052,318,522.39/652,812.17
  6. Step 6: Final answer
    x = 410,611.71

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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.