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Finding the Fourth Proportional to 497,694.54, 746,322.21 and 142,627.98

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Solution

The fourth proportional to 497,694.54, 746,322.21 and 142,627.98 is: 213,879.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,694.54 : 746,322.21 = 142,627.98 : x
  2. Step 2: Convert to fraction form
    497,694.54/746,322.21 = 142,627.98/x
  3. Step 3: Cross multiply
    497,694.54x = 746,322.21 × 142,627.98
  4. Step 4: Simplify right side
    497,694.54x = 106,446,429,241.44
  5. Step 5: Solve for x
    x = 106,446,429,241.44/497,694.54
  6. Step 6: Final answer
    x = 213,879.04

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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.