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Finding the Fourth Proportional to 264,211.41, 396,377.55 and 114,476.61

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Solution

The fourth proportional to 264,211.41, 396,377.55 and 114,476.61 is: 171,741.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,211.41 : 396,377.55 = 114,476.61 : x
  2. Step 2: Convert to fraction form
    264,211.41/396,377.55 = 114,476.61/x
  3. Step 3: Cross multiply
    264,211.41x = 396,377.55 × 114,476.61
  4. Step 4: Simplify right side
    264,211.41x = 45,375,958,204.11
  5. Step 5: Solve for x
    x = 45,375,958,204.11/264,211.41
  6. Step 6: Final answer
    x = 171,741.10

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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.