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Finding the Fourth Proportional to 293,650.96, 405,318.36 and 172,831

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Solution

The fourth proportional to 293,650.96, 405,318.36 and 172,831 is: 238,553.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,650.96 : 405,318.36 = 172,831 : x
  2. Step 2: Convert to fraction form
    293,650.96/405,318.36 = 172,831/x
  3. Step 3: Cross multiply
    293,650.96x = 405,318.36 × 172,831
  4. Step 4: Simplify right side
    293,650.96x = 70,051,577,477.16
  5. Step 5: Solve for x
    x = 70,051,577,477.16/293,650.96
  6. Step 6: Final answer
    x = 238,553.89

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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.