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Finding the Fourth Proportional to 311,223.78, 466,845.26 and 121,676.58

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Solution

The fourth proportional to 311,223.78, 466,845.26 and 121,676.58 is: 182,518.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,223.78 : 466,845.26 = 121,676.58 : x
  2. Step 2: Convert to fraction form
    311,223.78/466,845.26 = 121,676.58/x
  3. Step 3: Cross multiply
    311,223.78x = 466,845.26 × 121,676.58
  4. Step 4: Simplify right side
    311,223.78x = 56,804,132,595.98
  5. Step 5: Solve for x
    x = 56,804,132,595.98/311,223.78
  6. Step 6: Final answer
    x = 182,518.62

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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.