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Finding the Fourth Proportional to 329,209.24, 493,813.96 and 92,552

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Solution

The fourth proportional to 329,209.24, 493,813.96 and 92,552 is: 138,828.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,209.24 : 493,813.96 = 92,552 : x
  2. Step 2: Convert to fraction form
    329,209.24/493,813.96 = 92,552/x
  3. Step 3: Cross multiply
    329,209.24x = 493,813.96 × 92,552
  4. Step 4: Simplify right side
    329,209.24x = 45,703,469,625.92
  5. Step 5: Solve for x
    x = 45,703,469,625.92/329,209.24
  6. Step 6: Final answer
    x = 138,828.03

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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.