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Finding the Fourth Proportional to 311,415.35, 467,123.00 and 74,758.03

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Solution

The fourth proportional to 311,415.35, 467,123.00 and 74,758.03 is: 112,137.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,415.35 : 467,123.00 = 74,758.03 : x
  2. Step 2: Convert to fraction form
    311,415.35/467,123.00 = 74,758.03/x
  3. Step 3: Cross multiply
    311,415.35x = 467,123.00 × 74,758.03
  4. Step 4: Simplify right side
    311,415.35x = 34,921,194,266.78
  5. Step 5: Solve for x
    x = 34,921,194,266.78/311,415.35
  6. Step 6: Final answer
    x = 112,137.04

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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.