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Finding the Fourth Proportional to 309,185.34, 463,174 and 213,105.48

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Solution

The fourth proportional to 309,185.34, 463,174 and 213,105.48 is: 319,241.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,185.34 : 463,174 = 213,105.48 : x
  2. Step 2: Convert to fraction form
    309,185.34/463,174 = 213,105.48/x
  3. Step 3: Cross multiply
    309,185.34x = 463,174 × 213,105.48
  4. Step 4: Simplify right side
    309,185.34x = 98,704,917,593.52
  5. Step 5: Solve for x
    x = 98,704,917,593.52/309,185.34
  6. Step 6: Final answer
    x = 319,241.91

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