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Finding the Fourth Proportional to 311,167.56, 466,647.34 and 121,578.76

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Solution

The fourth proportional to 311,167.56, 466,647.34 and 121,578.76 is: 182,327.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,167.56 : 466,647.34 = 121,578.76 : x
  2. Step 2: Convert to fraction form
    311,167.56/466,647.34 = 121,578.76/x
  3. Step 3: Cross multiply
    311,167.56x = 466,647.34 × 121,578.76
  4. Step 4: Simplify right side
    311,167.56x = 56,734,404,954.50
  5. Step 5: Solve for x
    x = 56,734,404,954.50/311,167.56
  6. Step 6: Final answer
    x = 182,327.51

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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.