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Finding the Fourth Proportional to 293,700.24, 405,371.52 and 166,446

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Solution

The fourth proportional to 293,700.24, 405,371.52 and 166,446 is: 229,732.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,700.24 : 405,371.52 = 166,446 : x
  2. Step 2: Convert to fraction form
    293,700.24/405,371.52 = 166,446/x
  3. Step 3: Cross multiply
    293,700.24x = 405,371.52 × 166,446
  4. Step 4: Simplify right side
    293,700.24x = 67,472,468,017.92
  5. Step 5: Solve for x
    x = 67,472,468,017.92/293,700.24
  6. Step 6: Final answer
    x = 229,732.42

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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.