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Finding the Fourth Proportional to 424,198.50, 585,397.89 and 233,213.25

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Solution

The fourth proportional to 424,198.50, 585,397.89 and 233,213.25 is: 321,836.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,198.50 : 585,397.89 = 233,213.25 : x
  2. Step 2: Convert to fraction form
    424,198.50/585,397.89 = 233,213.25/x
  3. Step 3: Cross multiply
    424,198.50x = 585,397.89 × 233,213.25
  4. Step 4: Simplify right side
    424,198.50x = 136,522,544,470.04
  5. Step 5: Solve for x
    x = 136,522,544,470.04/424,198.50
  6. Step 6: Final answer
    x = 321,836.46

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1.5x scale

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.