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Finding the Fourth Proportional to 386,857.31, 533,901.44 and 217,092.11

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Solution

The fourth proportional to 386,857.31, 533,901.44 and 217,092.11 is: 299,608.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,857.31 : 533,901.44 = 217,092.11 : x
  2. Step 2: Convert to fraction form
    386,857.31/533,901.44 = 217,092.11/x
  3. Step 3: Cross multiply
    386,857.31x = 533,901.44 × 217,092.11
  4. Step 4: Simplify right side
    386,857.31x = 115,905,788,014.86
  5. Step 5: Solve for x
    x = 115,905,788,014.86/386,857.31
  6. Step 6: Final answer
    x = 299,608.63

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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.