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Finding the Fourth Proportional to 330,253.96, 455,789.38 and 196,117.96

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Solution

The fourth proportional to 330,253.96, 455,789.38 and 196,117.96 is: 270,665.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,253.96 : 455,789.38 = 196,117.96 : x
  2. Step 2: Convert to fraction form
    330,253.96/455,789.38 = 196,117.96/x
  3. Step 3: Cross multiply
    330,253.96x = 455,789.38 × 196,117.96
  4. Step 4: Simplify right side
    330,253.96x = 89,388,483,395.26
  5. Step 5: Solve for x
    x = 89,388,483,395.26/330,253.96
  6. Step 6: Final answer
    x = 270,665.89

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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.