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Finding the Fourth Proportional to 253,825.70, 380,739.42 and 64,285.97

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Solution

The fourth proportional to 253,825.70, 380,739.42 and 64,285.97 is: 96,429.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,825.70 : 380,739.42 = 64,285.97 : x
  2. Step 2: Convert to fraction form
    253,825.70/380,739.42 = 64,285.97/x
  3. Step 3: Cross multiply
    253,825.70x = 380,739.42 × 64,285.97
  4. Step 4: Simplify right side
    253,825.70x = 24,476,201,028.24
  5. Step 5: Solve for x
    x = 24,476,201,028.24/253,825.70
  6. Step 6: Final answer
    x = 96,429.17

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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.