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Finding the Fourth Proportional to 458,514.56, 687,968.96 and 222,034.56

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Solution

The fourth proportional to 458,514.56, 687,968.96 and 222,034.56 is: 333,147.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,514.56 : 687,968.96 = 222,034.56 : x
  2. Step 2: Convert to fraction form
    458,514.56/687,968.96 = 222,034.56/x
  3. Step 3: Cross multiply
    458,514.56x = 687,968.96 × 222,034.56
  4. Step 4: Simplify right side
    458,514.56x = 152,752,885,327.26
  5. Step 5: Solve for x
    x = 152,752,885,327.26/458,514.56
  6. Step 6: Final answer
    x = 333,147.29

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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.