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Finding the Fourth Proportional to 264,516.70, 396,945.15 and 146,272.90

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Solution

The fourth proportional to 264,516.70, 396,945.15 and 146,272.90 is: 219,503.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,516.70 : 396,945.15 = 146,272.90 : x
  2. Step 2: Convert to fraction form
    264,516.70/396,945.15 = 146,272.90/x
  3. Step 3: Cross multiply
    264,516.70x = 396,945.15 × 146,272.90
  4. Step 4: Simplify right side
    264,516.70x = 58,062,318,231.44
  5. Step 5: Solve for x
    x = 58,062,318,231.44/264,516.70
  6. Step 6: Final answer
    x = 219,503.41

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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.