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Finding the Fourth Proportional to 307,670.40, 461,505.60 and 218,440.80

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Solution

The fourth proportional to 307,670.40, 461,505.60 and 218,440.80 is: 327,661.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,670.40 : 461,505.60 = 218,440.80 : x
  2. Step 2: Convert to fraction form
    307,670.40/461,505.60 = 218,440.80/x
  3. Step 3: Cross multiply
    307,670.40x = 461,505.60 × 218,440.80
  4. Step 4: Simplify right side
    307,670.40x = 100,811,652,468.48
  5. Step 5: Solve for x
    x = 100,811,652,468.48/307,670.40
  6. Step 6: Final answer
    x = 327,661.20

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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.