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Finding the Fourth Proportional to 322,105.41, 483,168.24 and 153,644.04

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Solution

The fourth proportional to 322,105.41, 483,168.24 and 153,644.04 is: 230,470.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,105.41 : 483,168.24 = 153,644.04 : x
  2. Step 2: Convert to fraction form
    322,105.41/483,168.24 = 153,644.04/x
  3. Step 3: Cross multiply
    322,105.41x = 483,168.24 × 153,644.04
  4. Step 4: Simplify right side
    322,105.41x = 74,235,920,393.29
  5. Step 5: Solve for x
    x = 74,235,920,393.29/322,105.41
  6. Step 6: Final answer
    x = 230,470.89

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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.