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Finding the Fourth Proportional to 652,056.17, 978,072.57 and 267,721.56

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Solution

The fourth proportional to 652,056.17, 978,072.57 and 267,721.56 is: 401,577.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,056.17 : 978,072.57 = 267,721.56 : x
  2. Step 2: Convert to fraction form
    652,056.17/978,072.57 = 267,721.56/x
  3. Step 3: Cross multiply
    652,056.17x = 978,072.57 × 267,721.56
  4. Step 4: Simplify right side
    652,056.17x = 261,851,114,233.61
  5. Step 5: Solve for x
    x = 261,851,114,233.61/652,056.17
  6. Step 6: Final answer
    x = 401,577.55

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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.