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Finding the Fourth Proportional to 305,892.68, 422,199.36 and 169,973.33

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Solution

The fourth proportional to 305,892.68, 422,199.36 and 169,973.33 is: 234,600.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,892.68 : 422,199.36 = 169,973.33 : x
  2. Step 2: Convert to fraction form
    305,892.68/422,199.36 = 169,973.33/x
  3. Step 3: Cross multiply
    305,892.68x = 422,199.36 × 169,973.33
  4. Step 4: Simplify right side
    305,892.68x = 71,762,629,032.07
  5. Step 5: Solve for x
    x = 71,762,629,032.07/305,892.68
  6. Step 6: Final answer
    x = 234,600.68

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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.