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Finding the Fourth Proportional to 301,389.26, 415,922.45 and 165,435.92

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Solution

The fourth proportional to 301,389.26, 415,922.45 and 165,435.92 is: 228,304.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,389.26 : 415,922.45 = 165,435.92 : x
  2. Step 2: Convert to fraction form
    301,389.26/415,922.45 = 165,435.92/x
  3. Step 3: Cross multiply
    301,389.26x = 415,922.45 × 165,435.92
  4. Step 4: Simplify right side
    301,389.26x = 68,808,511,817.32
  5. Step 5: Solve for x
    x = 68,808,511,817.32/301,389.26
  6. Step 6: Final answer
    x = 228,304.46

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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.