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Finding the Fourth Proportional to 496,361.61, 744,624.43 and 196,843.76

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Solution

The fourth proportional to 496,361.61, 744,624.43 and 196,843.76 is: 295,298.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,361.61 : 744,624.43 = 196,843.76 : x
  2. Step 2: Convert to fraction form
    496,361.61/744,624.43 = 196,843.76/x
  3. Step 3: Cross multiply
    496,361.61x = 744,624.43 × 196,843.76
  4. Step 4: Simplify right side
    496,361.61x = 146,574,672,589.06
  5. Step 5: Solve for x
    x = 146,574,672,589.06/496,361.61
  6. Step 6: Final answer
    x = 295,298.16

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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.