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Finding the Fourth Proportional to 295,440.50, 443,123.82 and 82,224.41

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Solution

The fourth proportional to 295,440.50, 443,123.82 and 82,224.41 is: 123,326.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,440.50 : 443,123.82 = 82,224.41 : x
  2. Step 2: Convert to fraction form
    295,440.50/443,123.82 = 82,224.41/x
  3. Step 3: Cross multiply
    295,440.50x = 443,123.82 × 82,224.41
  4. Step 4: Simplify right side
    295,440.50x = 36,435,592,440.83
  5. Step 5: Solve for x
    x = 36,435,592,440.83/295,440.50
  6. Step 6: Final answer
    x = 123,326.33

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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.