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Finding the Fourth Proportional to 408,866.34, 564,231.22 and 227,575.38

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Solution

The fourth proportional to 408,866.34, 564,231.22 and 227,575.38 is: 314,051.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,866.34 : 564,231.22 = 227,575.38 : x
  2. Step 2: Convert to fraction form
    408,866.34/564,231.22 = 227,575.38/x
  3. Step 3: Cross multiply
    408,866.34x = 564,231.22 × 227,575.38
  4. Step 4: Simplify right side
    408,866.34x = 128,405,134,299.36
  5. Step 5: Solve for x
    x = 128,405,134,299.36/408,866.34
  6. Step 6: Final answer
    x = 314,051.61

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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.