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Finding the Fourth Proportional to 329,722.20, 494,583.30 and 296,479.80

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Solution

The fourth proportional to 329,722.20, 494,583.30 and 296,479.80 is: 444,719.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,722.20 : 494,583.30 = 296,479.80 : x
  2. Step 2: Convert to fraction form
    329,722.20/494,583.30 = 296,479.80/x
  3. Step 3: Cross multiply
    329,722.20x = 494,583.30 × 296,479.80
  4. Step 4: Simplify right side
    329,722.20x = 146,633,957,867.34
  5. Step 5: Solve for x
    x = 146,633,957,867.34/329,722.20
  6. Step 6: Final answer
    x = 444,719.70

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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.