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Finding the Fourth Proportional to 266,414.26, 399,276.94 and 199,328.04

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Solution

The fourth proportional to 266,414.26, 399,276.94 and 199,328.04 is: 298,734.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,414.26 : 399,276.94 = 199,328.04 : x
  2. Step 2: Convert to fraction form
    266,414.26/399,276.94 = 199,328.04/x
  3. Step 3: Cross multiply
    266,414.26x = 399,276.94 × 199,328.04
  4. Step 4: Simplify right side
    266,414.26x = 79,587,089,867.40
  5. Step 5: Solve for x
    x = 79,587,089,867.40/266,414.26
  6. Step 6: Final answer
    x = 298,734.35

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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.