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Finding the Fourth Proportional to 696,695.40, 961,514.82 and 394,857

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Solution

The fourth proportional to 696,695.40, 961,514.82 and 394,857 is: 544,945.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    696,695.40 : 961,514.82 = 394,857 : x
  2. Step 2: Convert to fraction form
    696,695.40/961,514.82 = 394,857/x
  3. Step 3: Cross multiply
    696,695.40x = 961,514.82 × 394,857
  4. Step 4: Simplify right side
    696,695.40x = 379,660,857,280.74
  5. Step 5: Solve for x
    x = 379,660,857,280.74/696,695.40
  6. Step 6: Final answer
    x = 544,945.26

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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.