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Finding the Fourth Proportional to 294,538.26, 441,807.26 and 84,176.27

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Solution

The fourth proportional to 294,538.26, 441,807.26 and 84,176.27 is: 126,264.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,538.26 : 441,807.26 = 84,176.27 : x
  2. Step 2: Convert to fraction form
    294,538.26/441,807.26 = 84,176.27/x
  3. Step 3: Cross multiply
    294,538.26x = 441,807.26 × 84,176.27
  4. Step 4: Simplify right side
    294,538.26x = 37,189,684,575.80
  5. Step 5: Solve for x
    x = 37,189,684,575.80/294,538.26
  6. Step 6: Final answer
    x = 126,264.36

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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.