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Finding the Fourth Proportional to 301,271.34, 415,769.52 and 172,216.46

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Solution

The fourth proportional to 301,271.34, 415,769.52 and 172,216.46 is: 237,667.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,271.34 : 415,769.52 = 172,216.46 : x
  2. Step 2: Convert to fraction form
    301,271.34/415,769.52 = 172,216.46/x
  3. Step 3: Cross multiply
    301,271.34x = 415,769.52 × 172,216.46
  4. Step 4: Simplify right side
    301,271.34x = 71,602,354,910.30
  5. Step 5: Solve for x
    x = 71,602,354,910.30/301,271.34
  6. Step 6: Final answer
    x = 237,667.33

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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.