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Finding the Fourth Proportional to 339,433.35, 468,365.97 and 196,165.74

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Solution

The fourth proportional to 339,433.35, 468,365.97 and 196,165.74 is: 270,678.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,433.35 : 468,365.97 = 196,165.74 : x
  2. Step 2: Convert to fraction form
    339,433.35/468,365.97 = 196,165.74/x
  3. Step 3: Cross multiply
    339,433.35x = 468,365.97 × 196,165.74
  4. Step 4: Simplify right side
    339,433.35x = 91,877,357,095.87
  5. Step 5: Solve for x
    x = 91,877,357,095.87/339,433.35
  6. Step 6: Final answer
    x = 270,678.64

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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.