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Finding the Fourth Proportional to 303,422.48, 418,623.12 and 196,055.72

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Solution

The fourth proportional to 303,422.48, 418,623.12 and 196,055.72 is: 270,492.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,422.48 : 418,623.12 = 196,055.72 : x
  2. Step 2: Convert to fraction form
    303,422.48/418,623.12 = 196,055.72/x
  3. Step 3: Cross multiply
    303,422.48x = 418,623.12 × 196,055.72
  4. Step 4: Simplify right side
    303,422.48x = 82,073,457,200.25
  5. Step 5: Solve for x
    x = 82,073,457,200.25/303,422.48
  6. Step 6: Final answer
    x = 270,492.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.