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Finding the Fourth Proportional to 293,564.31, 440,431.82 and 122,866.57

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Solution

The fourth proportional to 293,564.31, 440,431.82 and 122,866.57 is: 184,335.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,564.31 : 440,431.82 = 122,866.57 : x
  2. Step 2: Convert to fraction form
    293,564.31/440,431.82 = 122,866.57/x
  3. Step 3: Cross multiply
    293,564.31x = 440,431.82 × 122,866.57
  4. Step 4: Simplify right side
    293,564.31x = 54,114,347,042.26
  5. Step 5: Solve for x
    x = 54,114,347,042.26/293,564.31
  6. Step 6: Final answer
    x = 184,335.58

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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.