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Finding the Fourth Proportional to 311,251.68, 467,023.32 and 153,394.02

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Solution

The fourth proportional to 311,251.68, 467,023.32 and 153,394.02 is: 230,162.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,251.68 : 467,023.32 = 153,394.02 : x
  2. Step 2: Convert to fraction form
    311,251.68/467,023.32 = 153,394.02/x
  3. Step 3: Cross multiply
    311,251.68x = 467,023.32 × 153,394.02
  4. Step 4: Simplify right side
    311,251.68x = 71,638,584,488.55
  5. Step 5: Solve for x
    x = 71,638,584,488.55/311,251.68
  6. Step 6: Final answer
    x = 230,162.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.