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Finding the Fourth Proportional to 493,006.24, 739,620.14 and 156,067.10

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Solution

The fourth proportional to 493,006.24, 739,620.14 and 156,067.10 is: 234,135.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,006.24 : 739,620.14 = 156,067.10 : x
  2. Step 2: Convert to fraction form
    493,006.24/739,620.14 = 156,067.10/x
  3. Step 3: Cross multiply
    493,006.24x = 739,620.14 × 156,067.10
  4. Step 4: Simplify right side
    493,006.24x = 115,430,370,351.39
  5. Step 5: Solve for x
    x = 115,430,370,351.39/493,006.24
  6. Step 6: Final answer
    x = 234,135.72

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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.