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Finding the Fourth Proportional to 415,896.30, 622,678.04 and 404,232.30

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Solution

The fourth proportional to 415,896.30, 622,678.04 and 404,232.30 is: 605,214.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,896.30 : 622,678.04 = 404,232.30 : x
  2. Step 2: Convert to fraction form
    415,896.30/622,678.04 = 404,232.30/x
  3. Step 3: Cross multiply
    415,896.30x = 622,678.04 × 404,232.30
  4. Step 4: Simplify right side
    415,896.30x = 251,706,576,268.69
  5. Step 5: Solve for x
    x = 251,706,576,268.69/415,896.30
  6. Step 6: Final answer
    x = 605,214.75

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1.5x scale

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.