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Finding the Fourth Proportional to 378,651.36, 522,445.68 and 231,438.96

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Solution

The fourth proportional to 378,651.36, 522,445.68 and 231,438.96 is: 319,328.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,651.36 : 522,445.68 = 231,438.96 : x
  2. Step 2: Convert to fraction form
    378,651.36/522,445.68 = 231,438.96/x
  3. Step 3: Cross multiply
    378,651.36x = 522,445.68 × 231,438.96
  4. Step 4: Simplify right side
    378,651.36x = 120,914,284,835.69
  5. Step 5: Solve for x
    x = 120,914,284,835.69/378,651.36
  6. Step 6: Final answer
    x = 319,328.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.