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Finding the Fourth Proportional to 292,694.96, 439,044.60 and 82,354.16

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Solution

The fourth proportional to 292,694.96, 439,044.60 and 82,354.16 is: 123,531.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,694.96 : 439,044.60 = 82,354.16 : x
  2. Step 2: Convert to fraction form
    292,694.96/439,044.60 = 82,354.16/x
  3. Step 3: Cross multiply
    292,694.96x = 439,044.60 × 82,354.16
  4. Step 4: Simplify right side
    292,694.96x = 36,157,149,235.54
  5. Step 5: Solve for x
    x = 36,157,149,235.54/292,694.96
  6. Step 6: Final answer
    x = 123,531.85

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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.