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Finding the Fourth Proportional to 311,224.78, 466,846.76 and 121,677.58

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Solution

The fourth proportional to 311,224.78, 466,846.76 and 121,677.58 is: 182,520.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,224.78 : 466,846.76 = 121,677.58 : x
  2. Step 2: Convert to fraction form
    311,224.78/466,846.76 = 121,677.58/x
  3. Step 3: Cross multiply
    311,224.78x = 466,846.76 × 121,677.58
  4. Step 4: Simplify right side
    311,224.78x = 56,804,783,987.64
  5. Step 5: Solve for x
    x = 56,804,783,987.64/311,224.78
  6. Step 6: Final answer
    x = 182,520.12

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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.