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Finding the Fourth Proportional to 455,710.32, 683,662.41 and 156,110.49

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Solution

The fourth proportional to 455,710.32, 683,662.41 and 156,110.49 is: 234,198.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,710.32 : 683,662.41 = 156,110.49 : x
  2. Step 2: Convert to fraction form
    455,710.32/683,662.41 = 156,110.49/x
  3. Step 3: Cross multiply
    455,710.32x = 683,662.41 × 156,110.49
  4. Step 4: Simplify right side
    455,710.32x = 106,726,873,819.68
  5. Step 5: Solve for x
    x = 106,726,873,819.68/455,710.32
  6. Step 6: Final answer
    x = 234,198.94

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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.