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Finding the Fourth Proportional to 403,832.80, 605,749.20 and 277,861.60

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Solution

The fourth proportional to 403,832.80, 605,749.20 and 277,861.60 is: 416,792.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,832.80 : 605,749.20 = 277,861.60 : x
  2. Step 2: Convert to fraction form
    403,832.80/605,749.20 = 277,861.60/x
  3. Step 3: Cross multiply
    403,832.80x = 605,749.20 × 277,861.60
  4. Step 4: Simplify right side
    403,832.80x = 168,314,441,910.72
  5. Step 5: Solve for x
    x = 168,314,441,910.72/403,832.80
  6. Step 6: Final answer
    x = 416,792.40

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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.