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Finding the Fourth Proportional to 474,644.56, 712,073.49 and 159,093.40

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Solution

The fourth proportional to 474,644.56, 712,073.49 and 159,093.40 is: 238,675.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,644.56 : 712,073.49 = 159,093.40 : x
  2. Step 2: Convert to fraction form
    474,644.56/712,073.49 = 159,093.40/x
  3. Step 3: Cross multiply
    474,644.56x = 712,073.49 × 159,093.40
  4. Step 4: Simplify right side
    474,644.56x = 113,286,192,573.97
  5. Step 5: Solve for x
    x = 113,286,192,573.97/474,644.56
  6. Step 6: Final answer
    x = 238,675.85

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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.