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Finding the Fourth Proportional to 493,158.31, 739,729.26 and 156,198.31

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Solution

The fourth proportional to 493,158.31, 739,729.26 and 156,198.31 is: 234,294.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,158.31 : 739,729.26 = 156,198.31 : x
  2. Step 2: Convert to fraction form
    493,158.31/739,729.26 = 156,198.31/x
  3. Step 3: Cross multiply
    493,158.31x = 739,729.26 × 156,198.31
  4. Step 4: Simplify right side
    493,158.31x = 115,544,458,420.23
  5. Step 5: Solve for x
    x = 115,544,458,420.23/493,158.31
  6. Step 6: Final answer
    x = 234,294.86

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1.5x scale

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.