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Finding the Fourth Proportional to 496,179.98, 744,516.16 and 196,653.93

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Solution

The fourth proportional to 496,179.98, 744,516.16 and 196,653.93 is: 295,078.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,179.98 : 744,516.16 = 196,653.93 : x
  2. Step 2: Convert to fraction form
    496,179.98/744,516.16 = 196,653.93/x
  3. Step 3: Cross multiply
    496,179.98x = 744,516.16 × 196,653.93
  4. Step 4: Simplify right side
    496,179.98x = 146,412,025,528.94
  5. Step 5: Solve for x
    x = 146,412,025,528.94/496,179.98
  6. Step 6: Final answer
    x = 295,078.46

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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.