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Finding the Fourth Proportional to 294,204, 439,960.32 and 219,375.12

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Solution

The fourth proportional to 294,204, 439,960.32 and 219,375.12 is: 328,059.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,204 : 439,960.32 = 219,375.12 : x
  2. Step 2: Convert to fraction form
    294,204/439,960.32 = 219,375.12/x
  3. Step 3: Cross multiply
    294,204x = 439,960.32 × 219,375.12
  4. Step 4: Simplify right side
    294,204x = 96,516,347,995.24
  5. Step 5: Solve for x
    x = 96,516,347,995.24/294,204
  6. Step 6: Final answer
    x = 328,059.26

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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.