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Finding the Fourth Proportional to 422,384.80, 632,410.80 and 329,072.80

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Solution

The fourth proportional to 422,384.80, 632,410.80 and 329,072.80 is: 492,700.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,384.80 : 632,410.80 = 329,072.80 : x
  2. Step 2: Convert to fraction form
    422,384.80/632,410.80 = 329,072.80/x
  3. Step 3: Cross multiply
    422,384.80x = 632,410.80 × 329,072.80
  4. Step 4: Simplify right side
    422,384.80x = 208,109,192,706.24
  5. Step 5: Solve for x
    x = 208,109,192,706.24/422,384.80
  6. Step 6: Final answer
    x = 492,700.48

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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.