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Finding the Fourth Proportional to 331,743.94, 497,615.91 and 82,425.94

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Solution

The fourth proportional to 331,743.94, 497,615.91 and 82,425.94 is: 123,638.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,743.94 : 497,615.91 = 82,425.94 : x
  2. Step 2: Convert to fraction form
    331,743.94/497,615.91 = 82,425.94/x
  3. Step 3: Cross multiply
    331,743.94x = 497,615.91 × 82,425.94
  4. Step 4: Simplify right side
    331,743.94x = 41,016,457,587.57
  5. Step 5: Solve for x
    x = 41,016,457,587.57/331,743.94
  6. Step 6: Final answer
    x = 123,638.91

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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.