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Finding the Fourth Proportional to 424,539.42, 585,879.70 and 243,286.38

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Solution

The fourth proportional to 424,539.42, 585,879.70 and 243,286.38 is: 335,743.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,539.42 : 585,879.70 = 243,286.38 : x
  2. Step 2: Convert to fraction form
    424,539.42/585,879.70 = 243,286.38/x
  3. Step 3: Cross multiply
    424,539.42x = 585,879.70 × 243,286.38
  4. Step 4: Simplify right side
    424,539.42x = 142,536,551,328.49
  5. Step 5: Solve for x
    x = 142,536,551,328.49/424,539.42
  6. Step 6: Final answer
    x = 335,743.97

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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.