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Finding the Fourth Proportional to 409,108.40, 613,225.20 and 184,430.60

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Solution

The fourth proportional to 409,108.40, 613,225.20 and 184,430.60 is: 276,448.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,108.40 : 613,225.20 = 184,430.60 : x
  2. Step 2: Convert to fraction form
    409,108.40/613,225.20 = 184,430.60/x
  3. Step 3: Cross multiply
    409,108.40x = 613,225.20 × 184,430.60
  4. Step 4: Simplify right side
    409,108.40x = 113,097,491,571.12
  5. Step 5: Solve for x
    x = 113,097,491,571.12/409,108.40
  6. Step 6: Final answer
    x = 276,448.72

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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.