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Finding the Fourth Proportional to 415,562.40, 622,896.48 and 179,016.48

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Solution

The fourth proportional to 415,562.40, 622,896.48 and 179,016.48 is: 268,332.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,562.40 : 622,896.48 = 179,016.48 : x
  2. Step 2: Convert to fraction form
    415,562.40/622,896.48 = 179,016.48/x
  3. Step 3: Cross multiply
    415,562.40x = 622,896.48 × 179,016.48
  4. Step 4: Simplify right side
    415,562.40x = 111,508,735,253.99
  5. Step 5: Solve for x
    x = 111,508,735,253.99/415,562.40
  6. Step 6: Final answer
    x = 268,332.11

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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.