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Finding the Fourth Proportional to 419,279.09, 629,012.39 and 153,039.78

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Solution

The fourth proportional to 419,279.09, 629,012.39 and 153,039.78 is: 229,593.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,279.09 : 629,012.39 = 153,039.78 : x
  2. Step 2: Convert to fraction form
    419,279.09/629,012.39 = 153,039.78/x
  3. Step 3: Cross multiply
    419,279.09x = 629,012.39 × 153,039.78
  4. Step 4: Simplify right side
    419,279.09x = 96,263,917,017.68
  5. Step 5: Solve for x
    x = 96,263,917,017.68/419,279.09
  6. Step 6: Final answer
    x = 229,593.89

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1.5x scale

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.