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Finding the Fourth Proportional to 424,229.46, 585,421.66 and 233,241.38

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Solution

The fourth proportional to 424,229.46, 585,421.66 and 233,241.38 is: 321,864.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,229.46 : 585,421.66 = 233,241.38 : x
  2. Step 2: Convert to fraction form
    424,229.46/585,421.66 = 233,241.38/x
  3. Step 3: Cross multiply
    424,229.46x = 585,421.66 × 233,241.38
  4. Step 4: Simplify right side
    424,229.46x = 136,544,555,860.29
  5. Step 5: Solve for x
    x = 136,544,555,860.29/424,229.46
  6. Step 6: Final answer
    x = 321,864.86

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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.