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Finding the Fourth Proportional to 496,072.89, 744,170.49 and 141,114.56

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Solution

The fourth proportional to 496,072.89, 744,170.49 and 141,114.56 is: 211,689.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,072.89 : 744,170.49 = 141,114.56 : x
  2. Step 2: Convert to fraction form
    496,072.89/744,170.49 = 141,114.56/x
  3. Step 3: Cross multiply
    496,072.89x = 744,170.49 × 141,114.56
  4. Step 4: Simplify right side
    496,072.89x = 105,013,287,540.48
  5. Step 5: Solve for x
    x = 105,013,287,540.48/496,072.89
  6. Step 6: Final answer
    x = 211,689.23

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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.