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Finding the Fourth Proportional to 405,768.44, 608,257.11 and 169,178.78

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Solution

The fourth proportional to 405,768.44, 608,257.11 and 169,178.78 is: 253,603.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,768.44 : 608,257.11 = 169,178.78 : x
  2. Step 2: Convert to fraction form
    405,768.44/608,257.11 = 169,178.78/x
  3. Step 3: Cross multiply
    405,768.44x = 608,257.11 × 169,178.78
  4. Step 4: Simplify right side
    405,768.44x = 102,904,193,429.59
  5. Step 5: Solve for x
    x = 102,904,193,429.59/405,768.44
  6. Step 6: Final answer
    x = 253,603.25

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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.