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Finding the Fourth Proportional to 311,566.97, 466,672.47 and 204,830.43

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Solution

The fourth proportional to 311,566.97, 466,672.47 and 204,830.43 is: 306,799.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,566.97 : 466,672.47 = 204,830.43 : x
  2. Step 2: Convert to fraction form
    311,566.97/466,672.47 = 204,830.43/x
  3. Step 3: Cross multiply
    311,566.97x = 466,672.47 × 204,830.43
  4. Step 4: Simplify right side
    311,566.97x = 95,588,722,699.26
  5. Step 5: Solve for x
    x = 95,588,722,699.26/311,566.97
  6. Step 6: Final answer
    x = 306,799.93

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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.