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Finding the Fourth Proportional to 424,195.92, 585,375.30 and 233,208

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Solution

The fourth proportional to 424,195.92, 585,375.30 and 233,208 is: 321,818.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,195.92 : 585,375.30 = 233,208 : x
  2. Step 2: Convert to fraction form
    424,195.92/585,375.30 = 233,208/x
  3. Step 3: Cross multiply
    424,195.92x = 585,375.30 × 233,208
  4. Step 4: Simplify right side
    424,195.92x = 136,514,202,962.40
  5. Step 5: Solve for x
    x = 136,514,202,962.40/424,195.92
  6. Step 6: Final answer
    x = 321,818.76

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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.