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Finding the Fourth Proportional to 424,043.20, 585,172.83 and 233,052.49

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Solution

The fourth proportional to 424,043.20, 585,172.83 and 233,052.49 is: 321,608.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,043.20 : 585,172.83 = 233,052.49 : x
  2. Step 2: Convert to fraction form
    424,043.20/585,172.83 = 233,052.49/x
  3. Step 3: Cross multiply
    424,043.20x = 585,172.83 × 233,052.49
  4. Step 4: Simplify right side
    424,043.20x = 136,375,985,111.85
  5. Step 5: Solve for x
    x = 136,375,985,111.85/424,043.20
  6. Step 6: Final answer
    x = 321,608.71

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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.