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Finding the Fourth Proportional to 293,364, 404,842.68 and 159,228

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Solution

The fourth proportional to 293,364, 404,842.68 and 159,228 is: 219,734.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,364 : 404,842.68 = 159,228 : x
  2. Step 2: Convert to fraction form
    293,364/404,842.68 = 159,228/x
  3. Step 3: Cross multiply
    293,364x = 404,842.68 × 159,228
  4. Step 4: Simplify right side
    293,364x = 64,462,290,251.04
  5. Step 5: Solve for x
    x = 64,462,290,251.04/293,364
  6. Step 6: Final answer
    x = 219,734.84

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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.