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Finding the Fourth Proportional to 494,624.88, 682,520.28 and 293,382

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Solution

The fourth proportional to 494,624.88, 682,520.28 and 293,382 is: 404,830.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,624.88 : 682,520.28 = 293,382 : x
  2. Step 2: Convert to fraction form
    494,624.88/682,520.28 = 293,382/x
  3. Step 3: Cross multiply
    494,624.88x = 682,520.28 × 293,382
  4. Step 4: Simplify right side
    494,624.88x = 200,239,164,786.96
  5. Step 5: Solve for x
    x = 200,239,164,786.96/494,624.88
  6. Step 6: Final answer
    x = 404,830.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.