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Finding the Fourth Proportional to 294,304, 406,111.44 and 165,212.96

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Solution

The fourth proportional to 294,304, 406,111.44 and 165,212.96 is: 227,978.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,304 : 406,111.44 = 165,212.96 : x
  2. Step 2: Convert to fraction form
    294,304/406,111.44 = 165,212.96/x
  3. Step 3: Cross multiply
    294,304x = 406,111.44 × 165,212.96
  4. Step 4: Simplify right side
    294,304x = 67,094,873,092.26
  5. Step 5: Solve for x
    x = 67,094,873,092.26/294,304
  6. Step 6: Final answer
    x = 227,978.12

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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.