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Finding the Fourth Proportional to 493,163.80, 739,750.62 and 156,198.04

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Solution

The fourth proportional to 493,163.80, 739,750.62 and 156,198.04 is: 234,298.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,163.80 : 739,750.62 = 156,198.04 : x
  2. Step 2: Convert to fraction form
    493,163.80/739,750.62 = 156,198.04/x
  3. Step 3: Cross multiply
    493,163.80x = 739,750.62 × 156,198.04
  4. Step 4: Simplify right side
    493,163.80x = 115,547,596,932.79
  5. Step 5: Solve for x
    x = 115,547,596,932.79/493,163.80
  6. Step 6: Final answer
    x = 234,298.62

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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.