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Finding the Fourth Proportional to 413,723.40, 620,693.10 and 133,247.40

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Solution

The fourth proportional to 413,723.40, 620,693.10 and 133,247.40 is: 199,905.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,723.40 : 620,693.10 = 133,247.40 : x
  2. Step 2: Convert to fraction form
    413,723.40/620,693.10 = 133,247.40/x
  3. Step 3: Cross multiply
    413,723.40x = 620,693.10 × 133,247.40
  4. Step 4: Simplify right side
    413,723.40x = 82,705,741,772.94
  5. Step 5: Solve for x
    x = 82,705,741,772.94/413,723.40
  6. Step 6: Final answer
    x = 199,905.88

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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.