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Finding the Fourth Proportional to 301,327.68, 415,837.34 and 165,374.27

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Solution

The fourth proportional to 301,327.68, 415,837.34 and 165,374.27 is: 228,219.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,327.68 : 415,837.34 = 165,374.27 : x
  2. Step 2: Convert to fraction form
    301,327.68/415,837.34 = 165,374.27/x
  3. Step 3: Cross multiply
    301,327.68x = 415,837.34 × 165,374.27
  4. Step 4: Simplify right side
    301,327.68x = 68,768,795,575.42
  5. Step 5: Solve for x
    x = 68,768,795,575.42/301,327.68
  6. Step 6: Final answer
    x = 228,219.31

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Why These Related Problems?

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