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Finding the Fourth Proportional to 419,957.80, 629,936.70 and 301,859.80

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Solution

The fourth proportional to 419,957.80, 629,936.70 and 301,859.80 is: 452,789.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,957.80 : 629,936.70 = 301,859.80 : x
  2. Step 2: Convert to fraction form
    419,957.80/629,936.70 = 301,859.80/x
  3. Step 3: Cross multiply
    419,957.80x = 629,936.70 × 301,859.80
  4. Step 4: Simplify right side
    419,957.80x = 190,152,566,274.66
  5. Step 5: Solve for x
    x = 190,152,566,274.66/419,957.80
  6. Step 6: Final answer
    x = 452,789.70

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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.