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Finding the Fourth Proportional to 311,422.34, 467,133.50 and 74,765.02

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Solution

The fourth proportional to 311,422.34, 467,133.50 and 74,765.02 is: 112,147.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,422.34 : 467,133.50 = 74,765.02 : x
  2. Step 2: Convert to fraction form
    311,422.34/467,133.50 = 74,765.02/x
  3. Step 3: Cross multiply
    311,422.34x = 467,133.50 × 74,765.02
  4. Step 4: Simplify right side
    311,422.34x = 34,925,245,470.17
  5. Step 5: Solve for x
    x = 34,925,245,470.17/311,422.34
  6. Step 6: Final answer
    x = 112,147.53

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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.