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Finding the Fourth Proportional to 424,231.96, 585,442.02 and 230,641.56

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Solution

The fourth proportional to 424,231.96, 585,442.02 and 230,641.56 is: 318,286.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,231.96 : 585,442.02 = 230,641.56 : x
  2. Step 2: Convert to fraction form
    424,231.96/585,442.02 = 230,641.56/x
  3. Step 3: Cross multiply
    424,231.96x = 585,442.02 × 230,641.56
  4. Step 4: Simplify right side
    424,231.96x = 135,027,260,782.35
  5. Step 5: Solve for x
    x = 135,027,260,782.35/424,231.96
  6. Step 6: Final answer
    x = 318,286.39

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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.