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Finding the Fourth Proportional to 293,729.68, 405,366.99 and 166,406.32

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Solution

The fourth proportional to 293,729.68, 405,366.99 and 166,406.32 is: 229,652.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,729.68 : 405,366.99 = 166,406.32 : x
  2. Step 2: Convert to fraction form
    293,729.68/405,366.99 = 166,406.32/x
  3. Step 3: Cross multiply
    293,729.68x = 405,366.99 × 166,406.32
  4. Step 4: Simplify right side
    293,729.68x = 67,455,629,055.38
  5. Step 5: Solve for x
    x = 67,455,629,055.38/293,729.68
  6. Step 6: Final answer
    x = 229,652.07

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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.