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Finding the Fourth Proportional to 293,006.56, 439,520.64 and 82,650.12

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Solution

The fourth proportional to 293,006.56, 439,520.64 and 82,650.12 is: 123,978.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,006.56 : 439,520.64 = 82,650.12 : x
  2. Step 2: Convert to fraction form
    293,006.56/439,520.64 = 82,650.12/x
  3. Step 3: Cross multiply
    293,006.56x = 439,520.64 × 82,650.12
  4. Step 4: Simplify right side
    293,006.56x = 36,326,433,638.48
  5. Step 5: Solve for x
    x = 36,326,433,638.48/293,006.56
  6. Step 6: Final answer
    x = 123,978.23

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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.