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Finding the Fourth Proportional to 311,166.56, 466,645.84 and 121,577.76

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Solution

The fourth proportional to 311,166.56, 466,645.84 and 121,577.76 is: 182,326.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,166.56 : 466,645.84 = 121,577.76 : x
  2. Step 2: Convert to fraction form
    311,166.56/466,645.84 = 121,577.76/x
  3. Step 3: Cross multiply
    311,166.56x = 466,645.84 × 121,577.76
  4. Step 4: Simplify right side
    311,166.56x = 56,733,755,940.52
  5. Step 5: Solve for x
    x = 56,733,755,940.52/311,166.56
  6. Step 6: Final answer
    x = 182,326.01

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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.