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Finding the Fourth Proportional to 329,024.92, 493,733.94 and 302,255.80

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Solution

The fourth proportional to 329,024.92, 493,733.94 and 302,255.80 is: 453,564.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,024.92 : 493,733.94 = 302,255.80 : x
  2. Step 2: Convert to fraction form
    329,024.92/493,733.94 = 302,255.80/x
  3. Step 3: Cross multiply
    329,024.92x = 493,733.94 × 302,255.80
  4. Step 4: Simplify right side
    329,024.92x = 149,233,947,021.85
  5. Step 5: Solve for x
    x = 149,233,947,021.85/329,024.92
  6. Step 6: Final answer
    x = 453,564.27

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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.