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Finding the Fourth Proportional to 364,835.76, 547,259.88 and 165,163.44

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Solution

The fourth proportional to 364,835.76, 547,259.88 and 165,163.44 is: 247,747.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,835.76 : 547,259.88 = 165,163.44 : x
  2. Step 2: Convert to fraction form
    364,835.76/547,259.88 = 165,163.44/x
  3. Step 3: Cross multiply
    364,835.76x = 547,259.88 × 165,163.44
  4. Step 4: Simplify right side
    364,835.76x = 90,387,324,354.79
  5. Step 5: Solve for x
    x = 90,387,324,354.79/364,835.76
  6. Step 6: Final answer
    x = 247,747.98

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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.