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Finding the Fourth Proportional to 301,789.30, 416,467.17 and 165,824.68

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Solution

The fourth proportional to 301,789.30, 416,467.17 and 165,824.68 is: 228,836.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,789.30 : 416,467.17 = 165,824.68 : x
  2. Step 2: Convert to fraction form
    301,789.30/416,467.17 = 165,824.68/x
  3. Step 3: Cross multiply
    301,789.30x = 416,467.17 × 165,824.68
  4. Step 4: Simplify right side
    301,789.30x = 69,060,535,195.76
  5. Step 5: Solve for x
    x = 69,060,535,195.76/301,789.30
  6. Step 6: Final answer
    x = 228,836.92

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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.