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Finding the Fourth Proportional to 380,351.86, 523,826.64 and 293,992.69

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Solution

The fourth proportional to 380,351.86, 523,826.64 and 293,992.69 is: 404,891.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,351.86 : 523,826.64 = 293,992.69 : x
  2. Step 2: Convert to fraction form
    380,351.86/523,826.64 = 293,992.69/x
  3. Step 3: Cross multiply
    380,351.86x = 523,826.64 × 293,992.69
  4. Step 4: Simplify right side
    380,351.86x = 154,001,202,987.26
  5. Step 5: Solve for x
    x = 154,001,202,987.26/380,351.86
  6. Step 6: Final answer
    x = 404,891.42

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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.