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Finding the Fourth Proportional to 496,501.64, 744,548.34 and 196,940.96

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Solution

The fourth proportional to 496,501.64, 744,548.34 and 196,940.96 is: 295,330.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,501.64 : 744,548.34 = 196,940.96 : x
  2. Step 2: Convert to fraction form
    496,501.64/744,548.34 = 196,940.96/x
  3. Step 3: Cross multiply
    496,501.64x = 744,548.34 × 196,940.96
  4. Step 4: Simplify right side
    496,501.64x = 146,632,064,846.01
  5. Step 5: Solve for x
    x = 146,632,064,846.01/496,501.64
  6. Step 6: Final answer
    x = 295,330.47

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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.