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Finding the Fourth Proportional to 497,850.40, 746,689.20 and 182,144.80

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Solution

The fourth proportional to 497,850.40, 746,689.20 and 182,144.80 is: 273,185.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,850.40 : 746,689.20 = 182,144.80 : x
  2. Step 2: Convert to fraction form
    497,850.40/746,689.20 = 182,144.80/x
  3. Step 3: Cross multiply
    497,850.40x = 746,689.20 × 182,144.80
  4. Step 4: Simplify right side
    497,850.40x = 136,005,554,996.16
  5. Step 5: Solve for x
    x = 136,005,554,996.16/497,850.40
  6. Step 6: Final answer
    x = 273,185.59

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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.