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Finding the Fourth Proportional to 409,122.40, 613,246.20 and 184,444.60

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Solution

The fourth proportional to 409,122.40, 613,246.20 and 184,444.60 is: 276,469.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,122.40 : 613,246.20 = 184,444.60 : x
  2. Step 2: Convert to fraction form
    409,122.40/613,246.20 = 184,444.60/x
  3. Step 3: Cross multiply
    409,122.40x = 613,246.20 × 184,444.60
  4. Step 4: Simplify right side
    409,122.40x = 113,109,950,060.52
  5. Step 5: Solve for x
    x = 113,109,950,060.52/409,122.40
  6. Step 6: Final answer
    x = 276,469.71

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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.