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Finding the Fourth Proportional to 301,639.05, 416,265.32 and 165,676.16

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Solution

The fourth proportional to 301,639.05, 416,265.32 and 165,676.16 is: 228,634.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,639.05 : 416,265.32 = 165,676.16 : x
  2. Step 2: Convert to fraction form
    301,639.05/416,265.32 = 165,676.16/x
  3. Step 3: Cross multiply
    301,639.05x = 416,265.32 × 165,676.16
  4. Step 4: Simplify right side
    301,639.05x = 68,965,239,758.77
  5. Step 5: Solve for x
    x = 68,965,239,758.77/301,639.05
  6. Step 6: Final answer
    x = 228,634.99

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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.