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Finding the Fourth Proportional to 299,159.60, 412,992.54 and 231,023.61

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Solution

The fourth proportional to 299,159.60, 412,992.54 and 231,023.61 is: 318,930.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,159.60 : 412,992.54 = 231,023.61 : x
  2. Step 2: Convert to fraction form
    299,159.60/412,992.54 = 231,023.61/x
  3. Step 3: Cross multiply
    299,159.60x = 412,992.54 × 231,023.61
  4. Step 4: Simplify right side
    299,159.60x = 95,411,027,493.87
  5. Step 5: Solve for x
    x = 95,411,027,493.87/299,159.60
  6. Step 6: Final answer
    x = 318,930.19

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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.