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Finding the Fourth Proportional to 329,021.92, 493,729.44 and 302,252.80

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Solution

The fourth proportional to 329,021.92, 493,729.44 and 302,252.80 is: 453,559.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,021.92 : 493,729.44 = 302,252.80 : x
  2. Step 2: Convert to fraction form
    329,021.92/493,729.44 = 302,252.80/x
  3. Step 3: Cross multiply
    329,021.92x = 493,729.44 × 302,252.80
  4. Step 4: Simplify right side
    329,021.92x = 149,231,105,682.43
  5. Step 5: Solve for x
    x = 149,231,105,682.43/329,021.92
  6. Step 6: Final answer
    x = 453,559.77

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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.