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Finding the Fourth Proportional to 467,644.10, 701,672.70 and 227,624.90

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Solution

The fourth proportional to 467,644.10, 701,672.70 and 227,624.90 is: 341,537.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,644.10 : 701,672.70 = 227,624.90 : x
  2. Step 2: Convert to fraction form
    467,644.10/701,672.70 = 227,624.90/x
  3. Step 3: Cross multiply
    467,644.10x = 701,672.70 × 227,624.90
  4. Step 4: Simplify right side
    467,644.10x = 159,718,178,170.23
  5. Step 5: Solve for x
    x = 159,718,178,170.23/467,644.10
  6. Step 6: Final answer
    x = 341,537.89

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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.