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Finding the Fourth Proportional to 501,269.46, 751,891.70 and 146,286.56

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Solution

The fourth proportional to 501,269.46, 751,891.70 and 146,286.56 is: 219,426.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,269.46 : 751,891.70 = 146,286.56 : x
  2. Step 2: Convert to fraction form
    501,269.46/751,891.70 = 146,286.56/x
  3. Step 3: Cross multiply
    501,269.46x = 751,891.70 × 146,286.56
  4. Step 4: Simplify right side
    501,269.46x = 109,991,645,794.66
  5. Step 5: Solve for x
    x = 109,991,645,794.66/501,269.46
  6. Step 6: Final answer
    x = 219,426.19

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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.