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Finding the Fourth Proportional to 531,452.86, 733,471.14 and 305,093.50

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Solution

The fourth proportional to 531,452.86, 733,471.14 and 305,093.50 is: 421,067.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,452.86 : 733,471.14 = 305,093.50 : x
  2. Step 2: Convert to fraction form
    531,452.86/733,471.14 = 305,093.50/x
  3. Step 3: Cross multiply
    531,452.86x = 733,471.14 × 305,093.50
  4. Step 4: Simplify right side
    531,452.86x = 223,777,277,251.59
  5. Step 5: Solve for x
    x = 223,777,277,251.59/531,452.86
  6. Step 6: Final answer
    x = 421,067.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.