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Finding the Fourth Proportional to 405,514.22, 559,593.78 and 242,198.42

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Solution

The fourth proportional to 405,514.22, 559,593.78 and 242,198.42 is: 334,224.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,514.22 : 559,593.78 = 242,198.42 : x
  2. Step 2: Convert to fraction form
    405,514.22/559,593.78 = 242,198.42/x
  3. Step 3: Cross multiply
    405,514.22x = 559,593.78 × 242,198.42
  4. Step 4: Simplify right side
    405,514.22x = 135,532,729,357.83
  5. Step 5: Solve for x
    x = 135,532,729,357.83/405,514.22
  6. Step 6: Final answer
    x = 334,224.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.