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Finding the Fourth Proportional to 400,933.29, 600,760.22 and 293,820.83

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Solution

The fourth proportional to 400,933.29, 600,760.22 and 293,820.83 is: 440,262.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,933.29 : 600,760.22 = 293,820.83 : x
  2. Step 2: Convert to fraction form
    400,933.29/600,760.22 = 293,820.83/x
  3. Step 3: Cross multiply
    400,933.29x = 600,760.22 × 293,820.83
  4. Step 4: Simplify right side
    400,933.29x = 176,515,861,998.48
  5. Step 5: Solve for x
    x = 176,515,861,998.48/400,933.29
  6. Step 6: Final answer
    x = 440,262.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.