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Finding the Fourth Proportional to 218,296.32, 327,492.36 and 196,251.36

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Solution

The fourth proportional to 218,296.32, 327,492.36 and 196,251.36 is: 294,420.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,296.32 : 327,492.36 = 196,251.36 : x
  2. Step 2: Convert to fraction form
    218,296.32/327,492.36 = 196,251.36/x
  3. Step 3: Cross multiply
    218,296.32x = 327,492.36 × 196,251.36
  4. Step 4: Simplify right side
    218,296.32x = 64,270,821,039.61
  5. Step 5: Solve for x
    x = 64,270,821,039.61/218,296.32
  6. Step 6: Final answer
    x = 294,420.08

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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.