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Finding the Fourth Proportional to 264,512.20, 396,938.40 and 146,268.40

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Solution

The fourth proportional to 264,512.20, 396,938.40 and 146,268.40 is: 219,496.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,512.20 : 396,938.40 = 146,268.40 : x
  2. Step 2: Convert to fraction form
    264,512.20/396,938.40 = 146,268.40/x
  3. Step 3: Cross multiply
    264,512.20x = 396,938.40 × 146,268.40
  4. Step 4: Simplify right side
    264,512.20x = 58,059,544,666.56
  5. Step 5: Solve for x
    x = 58,059,544,666.56/264,512.20
  6. Step 6: Final answer
    x = 219,496.66

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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.