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Finding the Fourth Proportional to 294,286, 406,086.60 and 165,194.92

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Solution

The fourth proportional to 294,286, 406,086.60 and 165,194.92 is: 227,953.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,286 : 406,086.60 = 165,194.92 : x
  2. Step 2: Convert to fraction form
    294,286/406,086.60 = 165,194.92/x
  3. Step 3: Cross multiply
    294,286x = 406,086.60 × 165,194.92
  4. Step 4: Simplify right side
    294,286x = 67,083,443,400.07
  5. Step 5: Solve for x
    x = 67,083,443,400.07/294,286
  6. Step 6: Final answer
    x = 227,953.23

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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.