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Finding the Fourth Proportional to 264,757.67, 397,447.54 and 165,147.11

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Solution

The fourth proportional to 264,757.67, 397,447.54 and 165,147.11 is: 247,914.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,757.67 : 397,447.54 = 165,147.11 : x
  2. Step 2: Convert to fraction form
    264,757.67/397,447.54 = 165,147.11/x
  3. Step 3: Cross multiply
    264,757.67x = 397,447.54 × 165,147.11
  4. Step 4: Simplify right side
    264,757.67x = 65,637,312,607.61
  5. Step 5: Solve for x
    x = 65,637,312,607.61/264,757.67
  6. Step 6: Final answer
    x = 247,914.68

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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.