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Finding the Fourth Proportional to 497,687.04, 746,310.96 and 142,620.48

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Solution

The fourth proportional to 497,687.04, 746,310.96 and 142,620.48 is: 213,867.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,687.04 : 746,310.96 = 142,620.48 : x
  2. Step 2: Convert to fraction form
    497,687.04/746,310.96 = 142,620.48/x
  3. Step 3: Cross multiply
    497,687.04x = 746,310.96 × 142,620.48
  4. Step 4: Simplify right side
    497,687.04x = 106,439,227,344.46
  5. Step 5: Solve for x
    x = 106,439,227,344.46/497,687.04
  6. Step 6: Final answer
    x = 213,867.79

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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.