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Finding the Fourth Proportional to 497,964.80, 746,497.28 and 182,201.60

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Solution

The fourth proportional to 497,964.80, 746,497.28 and 182,201.60 is: 273,137.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,964.80 : 746,497.28 = 182,201.60 : x
  2. Step 2: Convert to fraction form
    497,964.80/746,497.28 = 182,201.60/x
  3. Step 3: Cross multiply
    497,964.80x = 746,497.28 × 182,201.60
  4. Step 4: Simplify right side
    497,964.80x = 136,012,998,811.65
  5. Step 5: Solve for x
    x = 136,012,998,811.65/497,964.80
  6. Step 6: Final answer
    x = 273,137.78

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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.