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Finding the Fourth Proportional to 218,064.40, 327,096.60 and 197,328.40

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Solution

The fourth proportional to 218,064.40, 327,096.60 and 197,328.40 is: 295,992.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,064.40 : 327,096.60 = 197,328.40 : x
  2. Step 2: Convert to fraction form
    218,064.40/327,096.60 = 197,328.40/x
  3. Step 3: Cross multiply
    218,064.40x = 327,096.60 × 197,328.40
  4. Step 4: Simplify right side
    218,064.40x = 64,545,448,723.44
  5. Step 5: Solve for x
    x = 64,545,448,723.44/218,064.40
  6. Step 6: Final answer
    x = 295,992.60

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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.