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Finding the Fourth Proportional to 329,578.65, 494,367.98 and 152,033.13

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Solution

The fourth proportional to 329,578.65, 494,367.98 and 152,033.13 is: 228,049.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,578.65 : 494,367.98 = 152,033.13 : x
  2. Step 2: Convert to fraction form
    329,578.65/494,367.98 = 152,033.13/x
  3. Step 3: Cross multiply
    329,578.65x = 494,367.98 × 152,033.13
  4. Step 4: Simplify right side
    329,578.65x = 75,160,310,611.01
  5. Step 5: Solve for x
    x = 75,160,310,611.01/329,578.65
  6. Step 6: Final answer
    x = 228,049.70

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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.