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Finding the Fourth Proportional to 382,305.80, 573,896.10 and 224,623.10

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Solution

The fourth proportional to 382,305.80, 573,896.10 and 224,623.10 is: 337,191.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,305.80 : 573,896.10 = 224,623.10 : x
  2. Step 2: Convert to fraction form
    382,305.80/573,896.10 = 224,623.10/x
  3. Step 3: Cross multiply
    382,305.80x = 573,896.10 × 224,623.10
  4. Step 4: Simplify right side
    382,305.80x = 128,910,321,059.91
  5. Step 5: Solve for x
    x = 128,910,321,059.91/382,305.80
  6. Step 6: Final answer
    x = 337,191.64

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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.