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Finding the Fourth Proportional to 655,144.71, 982,716.77 and 181,829.93

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Solution

The fourth proportional to 655,144.71, 982,716.77 and 181,829.93 is: 272,744.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,144.71 : 982,716.77 = 181,829.93 : x
  2. Step 2: Convert to fraction form
    655,144.71/982,716.77 = 181,829.93/x
  3. Step 3: Cross multiply
    655,144.71x = 982,716.77 × 181,829.93
  4. Step 4: Simplify right side
    655,144.71x = 178,687,315,676.19
  5. Step 5: Solve for x
    x = 178,687,315,676.19/655,144.71
  6. Step 6: Final answer
    x = 272,744.80

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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.