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Finding the Fourth Proportional to 301,402.83, 415,929.15 and 165,435.82

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Solution

The fourth proportional to 301,402.83, 415,929.15 and 165,435.82 is: 228,297.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,402.83 : 415,929.15 = 165,435.82 : x
  2. Step 2: Convert to fraction form
    301,402.83/415,929.15 = 165,435.82/x
  3. Step 3: Cross multiply
    301,402.83x = 415,929.15 × 165,435.82
  4. Step 4: Simplify right side
    301,402.83x = 68,809,579,992.15
  5. Step 5: Solve for x
    x = 68,809,579,992.15/301,402.83
  6. Step 6: Final answer
    x = 228,297.72

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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.