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Finding the Fourth Proportional to 468,002.68, 645,843.84 and 264,096.94

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Solution

The fourth proportional to 468,002.68, 645,843.84 and 264,096.94 is: 364,453.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,002.68 : 645,843.84 = 264,096.94 : x
  2. Step 2: Convert to fraction form
    468,002.68/645,843.84 = 264,096.94/x
  3. Step 3: Cross multiply
    468,002.68x = 645,843.84 × 264,096.94
  4. Step 4: Simplify right side
    468,002.68x = 170,565,381,861.85
  5. Step 5: Solve for x
    x = 170,565,381,861.85/468,002.68
  6. Step 6: Final answer
    x = 364,453.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.