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Finding the Fourth Proportional to 510,998.43, 705,193.82 and 293,246.94

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Solution

The fourth proportional to 510,998.43, 705,193.82 and 293,246.94 is: 404,689.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,998.43 : 705,193.82 = 293,246.94 : x
  2. Step 2: Convert to fraction form
    510,998.43/705,193.82 = 293,246.94/x
  3. Step 3: Cross multiply
    510,998.43x = 705,193.82 × 293,246.94
  4. Step 4: Simplify right side
    510,998.43x = 206,795,929,821.91
  5. Step 5: Solve for x
    x = 206,795,929,821.91/510,998.43
  6. Step 6: Final answer
    x = 404,689.95

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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.