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Finding the Fourth Proportional to 293,727.68, 405,364.24 and 166,404.32

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Solution

The fourth proportional to 293,727.68, 405,364.24 and 166,404.32 is: 229,649.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,727.68 : 405,364.24 = 166,404.32 : x
  2. Step 2: Convert to fraction form
    293,727.68/405,364.24 = 166,404.32/x
  3. Step 3: Cross multiply
    293,727.68x = 405,364.24 × 166,404.32
  4. Step 4: Simplify right side
    293,727.68x = 67,454,360,709.52
  5. Step 5: Solve for x
    x = 67,454,360,709.52/293,727.68
  6. Step 6: Final answer
    x = 229,649.32

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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.