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Finding the Fourth Proportional to 301,324.16, 415,827.28 and 172,265.44

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Solution

The fourth proportional to 301,324.16, 415,827.28 and 172,265.44 is: 237,726.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,324.16 : 415,827.28 = 172,265.44 : x
  2. Step 2: Convert to fraction form
    301,324.16/415,827.28 = 172,265.44/x
  3. Step 3: Cross multiply
    301,324.16x = 415,827.28 × 172,265.44
  4. Step 4: Simplify right side
    301,324.16x = 71,632,669,353.20
  5. Step 5: Solve for x
    x = 71,632,669,353.20/301,324.16
  6. Step 6: Final answer
    x = 237,726.27

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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.