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Finding the Fourth Proportional to 329,751.91, 494,084.53 and 302,175.21

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Solution

The fourth proportional to 329,751.91, 494,084.53 and 302,175.21 is: 452,764.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,751.91 : 494,084.53 = 302,175.21 : x
  2. Step 2: Convert to fraction form
    329,751.91/494,084.53 = 302,175.21/x
  3. Step 3: Cross multiply
    329,751.91x = 494,084.53 × 302,175.21
  4. Step 4: Simplify right side
    329,751.91x = 149,300,096,911.68
  5. Step 5: Solve for x
    x = 149,300,096,911.68/329,751.91
  6. Step 6: Final answer
    x = 452,764.92

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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.