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Finding the Fourth Proportional to 496,686.40, 744,757.44 and 196,863.28

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Solution

The fourth proportional to 496,686.40, 744,757.44 and 196,863.28 is: 295,187.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,686.40 : 744,757.44 = 196,863.28 : x
  2. Step 2: Convert to fraction form
    496,686.40/744,757.44 = 196,863.28/x
  3. Step 3: Cross multiply
    496,686.40x = 744,757.44 × 196,863.28
  4. Step 4: Simplify right side
    496,686.40x = 146,615,392,442.80
  5. Step 5: Solve for x
    x = 146,615,392,442.80/496,686.40
  6. Step 6: Final answer
    x = 295,187.05

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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.