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Finding the Fourth Proportional to 598,825.82, 826,649.07 and 394,997.42

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Solution

The fourth proportional to 598,825.82, 826,649.07 and 394,997.42 is: 545,274.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,825.82 : 826,649.07 = 394,997.42 : x
  2. Step 2: Convert to fraction form
    598,825.82/826,649.07 = 394,997.42/x
  3. Step 3: Cross multiply
    598,825.82x = 826,649.07 × 394,997.42
  4. Step 4: Simplify right side
    598,825.82x = 326,524,249,895.40
  5. Step 5: Solve for x
    x = 326,524,249,895.40/598,825.82
  6. Step 6: Final answer
    x = 545,274.17

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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.