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Finding the Fourth Proportional to 364,872.60, 547,308.90 and 165,188.52

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Solution

The fourth proportional to 364,872.60, 547,308.90 and 165,188.52 is: 247,782.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,872.60 : 547,308.90 = 165,188.52 : x
  2. Step 2: Convert to fraction form
    364,872.60/547,308.90 = 165,188.52/x
  3. Step 3: Cross multiply
    364,872.60x = 547,308.90 × 165,188.52
  4. Step 4: Simplify right side
    364,872.60x = 90,409,147,173.83
  5. Step 5: Solve for x
    x = 90,409,147,173.83/364,872.60
  6. Step 6: Final answer
    x = 247,782.78

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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.