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Finding the Fourth Proportional to 655,144.46, 982,716.39 and 181,829.68

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Solution

The fourth proportional to 655,144.46, 982,716.39 and 181,829.68 is: 272,744.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,144.46 : 982,716.39 = 181,829.68 : x
  2. Step 2: Convert to fraction form
    655,144.46/982,716.39 = 181,829.68/x
  3. Step 3: Cross multiply
    655,144.46x = 982,716.39 × 181,829.68
  4. Step 4: Simplify right side
    655,144.46x = 178,687,006,724.46
  5. Step 5: Solve for x
    x = 178,687,006,724.46/655,144.46
  6. Step 6: Final answer
    x = 272,744.44

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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.