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Finding the Fourth Proportional to 301,255.35, 415,732.35 and 172,196.58

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Solution

The fourth proportional to 301,255.35, 415,732.35 and 172,196.58 is: 237,631.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,255.35 : 415,732.35 = 172,196.58 : x
  2. Step 2: Convert to fraction form
    301,255.35/415,732.35 = 172,196.58/x
  3. Step 3: Cross multiply
    301,255.35x = 415,732.35 × 172,196.58
  4. Step 4: Simplify right side
    301,255.35x = 71,587,689,474.20
  5. Step 5: Solve for x
    x = 71,587,689,474.20/301,255.35
  6. Step 6: Final answer
    x = 237,631.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.