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Finding the Fourth Proportional to 293,906.31, 405,595.41 and 166,579.17

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Solution

The fourth proportional to 293,906.31, 405,595.41 and 166,579.17 is: 229,881.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,906.31 : 405,595.41 = 166,579.17 : x
  2. Step 2: Convert to fraction form
    293,906.31/405,595.41 = 166,579.17/x
  3. Step 3: Cross multiply
    293,906.31x = 405,595.41 × 166,579.17
  4. Step 4: Simplify right side
    293,906.31x = 67,563,746,753.61
  5. Step 5: Solve for x
    x = 67,563,746,753.61/293,906.31
  6. Step 6: Final answer
    x = 229,881.92

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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.