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Finding the Fourth Proportional to 296,299, 408,892.62 and 162,163

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Solution

The fourth proportional to 296,299, 408,892.62 and 162,163 is: 223,784.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,299 : 408,892.62 = 162,163 : x
  2. Step 2: Convert to fraction form
    296,299/408,892.62 = 162,163/x
  3. Step 3: Cross multiply
    296,299x = 408,892.62 × 162,163
  4. Step 4: Simplify right side
    296,299x = 66,307,253,937.06
  5. Step 5: Solve for x
    x = 66,307,253,937.06/296,299
  6. Step 6: Final answer
    x = 223,784.94

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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.