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Finding the Fourth Proportional to 301,400.51, 415,938.06 and 165,447.09

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Solution

The fourth proportional to 301,400.51, 415,938.06 and 165,447.09 is: 228,319.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,400.51 : 415,938.06 = 165,447.09 : x
  2. Step 2: Convert to fraction form
    301,400.51/415,938.06 = 165,447.09/x
  3. Step 3: Cross multiply
    301,400.51x = 415,938.06 × 165,447.09
  4. Step 4: Simplify right side
    301,400.51x = 68,815,741,647.25
  5. Step 5: Solve for x
    x = 68,815,741,647.25/301,400.51
  6. Step 6: Final answer
    x = 228,319.92

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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.