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Finding the Fourth Proportional to 294,028.71, 405,735.24 and 164,949.54

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Solution

The fourth proportional to 294,028.71, 405,735.24 and 164,949.54 is: 227,616.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,028.71 : 405,735.24 = 164,949.54 : x
  2. Step 2: Convert to fraction form
    294,028.71/405,735.24 = 164,949.54/x
  3. Step 3: Cross multiply
    294,028.71x = 405,735.24 × 164,949.54
  4. Step 4: Simplify right side
    294,028.71x = 66,925,841,199.79
  5. Step 5: Solve for x
    x = 66,925,841,199.79/294,028.71
  6. Step 6: Final answer
    x = 227,616.69

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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.