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Finding the Fourth Proportional to 386,540.33, 533,407.64 and 214,456.46

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Solution

The fourth proportional to 386,540.33, 533,407.64 and 214,456.46 is: 295,939.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,540.33 : 533,407.64 = 214,456.46 : x
  2. Step 2: Convert to fraction form
    386,540.33/533,407.64 = 214,456.46/x
  3. Step 3: Cross multiply
    386,540.33x = 533,407.64 × 214,456.46
  4. Step 4: Simplify right side
    386,540.33x = 114,392,710,472.03
  5. Step 5: Solve for x
    x = 114,392,710,472.03/386,540.33
  6. Step 6: Final answer
    x = 295,939.91

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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.