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Finding the Fourth Proportional to 441,055.88, 661,588.93 and 419,544

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Solution

The fourth proportional to 441,055.88, 661,588.93 and 419,544 is: 629,320.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,055.88 : 661,588.93 = 419,544 : x
  2. Step 2: Convert to fraction form
    441,055.88/661,588.93 = 419,544/x
  3. Step 3: Cross multiply
    441,055.88x = 661,588.93 × 419,544
  4. Step 4: Simplify right side
    441,055.88x = 277,565,664,999.06
  5. Step 5: Solve for x
    x = 277,565,664,999.06/441,055.88
  6. Step 6: Final answer
    x = 629,320.87

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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.