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Finding the Fourth Proportional to 419,661.61, 629,678.31 and 219,934.29

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Solution

The fourth proportional to 419,661.61, 629,678.31 and 219,934.29 is: 329,998.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,661.61 : 629,678.31 = 219,934.29 : x
  2. Step 2: Convert to fraction form
    419,661.61/629,678.31 = 219,934.29/x
  3. Step 3: Cross multiply
    419,661.61x = 629,678.31 × 219,934.29
  4. Step 4: Simplify right side
    419,661.61x = 138,487,850,032.85
  5. Step 5: Solve for x
    x = 138,487,850,032.85/419,661.61
  6. Step 6: Final answer
    x = 329,998.86

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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.