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Finding the Fourth Proportional to 424,211.68, 636,524.83 and 199,594.33

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Solution

The fourth proportional to 424,211.68, 636,524.83 and 199,594.33 is: 299,489.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,211.68 : 636,524.83 = 199,594.33 : x
  2. Step 2: Convert to fraction form
    424,211.68/636,524.83 = 199,594.33/x
  3. Step 3: Cross multiply
    424,211.68x = 636,524.83 × 199,594.33
  4. Step 4: Simplify right side
    424,211.68x = 127,046,745,630.40
  5. Step 5: Solve for x
    x = 127,046,745,630.40/424,211.68
  6. Step 6: Final answer
    x = 299,489.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.