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Finding the Fourth Proportional to 344,162, 516,262.44 and 122,546

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Solution

The fourth proportional to 344,162, 516,262.44 and 122,546 is: 183,825.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,162 : 516,262.44 = 122,546 : x
  2. Step 2: Convert to fraction form
    344,162/516,262.44 = 122,546/x
  3. Step 3: Cross multiply
    344,162x = 516,262.44 × 122,546
  4. Step 4: Simplify right side
    344,162x = 63,265,896,972.24
  5. Step 5: Solve for x
    x = 63,265,896,972.24/344,162
  6. Step 6: Final answer
    x = 183,825.92

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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.