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Finding the Fourth Proportional to 301,827.36, 416,532.26 and 165,873.72

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Solution

The fourth proportional to 301,827.36, 416,532.26 and 165,873.72 is: 228,911.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,827.36 : 416,532.26 = 165,873.72 : x
  2. Step 2: Convert to fraction form
    301,827.36/416,532.26 = 165,873.72/x
  3. Step 3: Cross multiply
    301,827.36x = 416,532.26 × 165,873.72
  4. Step 4: Simplify right side
    301,827.36x = 69,091,755,466.21
  5. Step 5: Solve for x
    x = 69,091,755,466.21/301,827.36
  6. Step 6: Final answer
    x = 228,911.51

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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.