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Finding the Fourth Proportional to 293,723.66, 405,358.70 and 166,400.30

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Solution

The fourth proportional to 293,723.66, 405,358.70 and 166,400.30 is: 229,643.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,723.66 : 405,358.70 = 166,400.30 : x
  2. Step 2: Convert to fraction form
    293,723.66/405,358.70 = 166,400.30/x
  3. Step 3: Cross multiply
    293,723.66x = 405,358.70 × 166,400.30
  4. Step 4: Simplify right side
    293,723.66x = 67,451,809,287.61
  5. Step 5: Solve for x
    x = 67,451,809,287.61/293,723.66
  6. Step 6: Final answer
    x = 229,643.77

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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.