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Finding the Fourth Proportional to 329,042.75, 493,492.82 and 192,174.37

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Solution

The fourth proportional to 329,042.75, 493,492.82 and 192,174.37 is: 288,219.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,042.75 : 493,492.82 = 192,174.37 : x
  2. Step 2: Convert to fraction form
    329,042.75/493,492.82 = 192,174.37/x
  3. Step 3: Cross multiply
    329,042.75x = 493,492.82 × 192,174.37
  4. Step 4: Simplify right side
    329,042.75x = 94,836,669,588.42
  5. Step 5: Solve for x
    x = 94,836,669,588.42/329,042.75
  6. Step 6: Final answer
    x = 288,219.91

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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.