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Finding the Fourth Proportional to 264,405.60, 396,676.76 and 114,611.30

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Solution

The fourth proportional to 264,405.60, 396,676.76 and 114,611.30 is: 171,946.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,405.60 : 396,676.76 = 114,611.30 : x
  2. Step 2: Convert to fraction form
    264,405.60/396,676.76 = 114,611.30/x
  3. Step 3: Cross multiply
    264,405.60x = 396,676.76 × 114,611.30
  4. Step 4: Simplify right side
    264,405.60x = 45,463,636,586.95
  5. Step 5: Solve for x
    x = 45,463,636,586.95/264,405.60
  6. Step 6: Final answer
    x = 171,946.57

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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.