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Finding the Fourth Proportional to 461,793.97, 692,642.22 and 218,576.80

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Solution

The fourth proportional to 461,793.97, 692,642.22 and 218,576.80 is: 327,842.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,793.97 : 692,642.22 = 218,576.80 : x
  2. Step 2: Convert to fraction form
    461,793.97/692,642.22 = 218,576.80/x
  3. Step 3: Cross multiply
    461,793.97x = 692,642.22 × 218,576.80
  4. Step 4: Simplify right side
    461,793.97x = 151,395,519,992.50
  5. Step 5: Solve for x
    x = 151,395,519,992.50/461,793.97
  6. Step 6: Final answer
    x = 327,842.13

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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.