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Finding the Fourth Proportional to 496,124.32, 743,330.56 and 271,646.32

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Solution

The fourth proportional to 496,124.32, 743,330.56 and 271,646.32 is: 407,000.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,124.32 : 743,330.56 = 271,646.32 : x
  2. Step 2: Convert to fraction form
    496,124.32/743,330.56 = 271,646.32/x
  3. Step 3: Cross multiply
    496,124.32x = 743,330.56 × 271,646.32
  4. Step 4: Simplify right side
    496,124.32x = 201,923,011,167.54
  5. Step 5: Solve for x
    x = 201,923,011,167.54/496,124.32
  6. Step 6: Final answer
    x = 407,000.83

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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.