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Finding the Fourth Proportional to 415,864.30, 622,630.05 and 404,200.30

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Solution

The fourth proportional to 415,864.30, 622,630.05 and 404,200.30 is: 605,166.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,864.30 : 622,630.05 = 404,200.30 : x
  2. Step 2: Convert to fraction form
    415,864.30/622,630.05 = 404,200.30/x
  3. Step 3: Cross multiply
    415,864.30x = 622,630.05 × 404,200.30
  4. Step 4: Simplify right side
    415,864.30x = 251,667,252,999.02
  5. Step 5: Solve for x
    x = 251,667,252,999.02/415,864.30
  6. Step 6: Final answer
    x = 605,166.76

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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.