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Finding the Fourth Proportional to 311,086.80, 466,356.60 and 184,414.80

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Solution

The fourth proportional to 311,086.80, 466,356.60 and 184,414.80 is: 276,460.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,086.80 : 466,356.60 = 184,414.80 : x
  2. Step 2: Convert to fraction form
    311,086.80/466,356.60 = 184,414.80/x
  3. Step 3: Cross multiply
    311,086.80x = 466,356.60 × 184,414.80
  4. Step 4: Simplify right side
    311,086.80x = 86,003,059,117.68
  5. Step 5: Solve for x
    x = 86,003,059,117.68/311,086.80
  6. Step 6: Final answer
    x = 276,460.01

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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.