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Finding the Fourth Proportional to 415,174.74, 622,947.59 and 201,825.60

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Solution

The fourth proportional to 415,174.74, 622,947.59 and 201,825.60 is: 302,828.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,174.74 : 622,947.59 = 201,825.60 : x
  2. Step 2: Convert to fraction form
    415,174.74/622,947.59 = 201,825.60/x
  3. Step 3: Cross multiply
    415,174.74x = 622,947.59 × 201,825.60
  4. Step 4: Simplify right side
    415,174.74x = 125,726,771,120.30
  5. Step 5: Solve for x
    x = 125,726,771,120.30/415,174.74
  6. Step 6: Final answer
    x = 302,828.57

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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.