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Finding the Fourth Proportional to 414,497.72, 622,008.21 and 237,350.72

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Solution

The fourth proportional to 414,497.72, 622,008.21 and 237,350.72 is: 356,175.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,497.72 : 622,008.21 = 237,350.72 : x
  2. Step 2: Convert to fraction form
    414,497.72/622,008.21 = 237,350.72/x
  3. Step 3: Cross multiply
    414,497.72x = 622,008.21 × 237,350.72
  4. Step 4: Simplify right side
    414,497.72x = 147,634,096,489.41
  5. Step 5: Solve for x
    x = 147,634,096,489.41/414,497.72
  6. Step 6: Final answer
    x = 356,175.90

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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.