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Finding the Fourth Proportional to 311,250.24, 429,399.36 and 198,051.84

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Solution

The fourth proportional to 311,250.24, 429,399.36 and 198,051.84 is: 273,231.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,250.24 : 429,399.36 = 198,051.84 : x
  2. Step 2: Convert to fraction form
    311,250.24/429,399.36 = 198,051.84/x
  3. Step 3: Cross multiply
    311,250.24x = 429,399.36 × 198,051.84
  4. Step 4: Simplify right side
    311,250.24x = 85,043,333,342.82
  5. Step 5: Solve for x
    x = 85,043,333,342.82/311,250.24
  6. Step 6: Final answer
    x = 273,231.38

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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.