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Finding the Fourth Proportional to 252,571.74, 378,928.69 and 110,429.50

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Solution

The fourth proportional to 252,571.74, 378,928.69 and 110,429.50 is: 165,675.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,571.74 : 378,928.69 = 110,429.50 : x
  2. Step 2: Convert to fraction form
    252,571.74/378,928.69 = 110,429.50/x
  3. Step 3: Cross multiply
    252,571.74x = 378,928.69 × 110,429.50
  4. Step 4: Simplify right side
    252,571.74x = 41,844,904,548.96
  5. Step 5: Solve for x
    x = 41,844,904,548.96/252,571.74
  6. Step 6: Final answer
    x = 165,675.32

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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.