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Finding the Fourth Proportional to 496,188, 744,528.16 and 196,661.92

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Solution

The fourth proportional to 496,188, 744,528.16 and 196,661.92 is: 295,090.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,188 : 744,528.16 = 196,661.92 : x
  2. Step 2: Convert to fraction form
    496,188/744,528.16 = 196,661.92/x
  3. Step 3: Cross multiply
    496,188x = 744,528.16 × 196,661.92
  4. Step 4: Simplify right side
    496,188x = 146,420,337,439.67
  5. Step 5: Solve for x
    x = 146,420,337,439.67/496,188
  6. Step 6: Final answer
    x = 295,090.44

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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.