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Finding the Fourth Proportional to 293,722.17, 405,356.64 and 166,398.81

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Solution

The fourth proportional to 293,722.17, 405,356.64 and 166,398.81 is: 229,641.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,722.17 : 405,356.64 = 166,398.81 : x
  2. Step 2: Convert to fraction form
    293,722.17/405,356.64 = 166,398.81/x
  3. Step 3: Cross multiply
    293,722.17x = 405,356.64 × 166,398.81
  4. Step 4: Simplify right side
    293,722.17x = 67,450,859,662.82
  5. Step 5: Solve for x
    x = 67,450,859,662.82/293,722.17
  6. Step 6: Final answer
    x = 229,641.71

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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.