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Finding the Fourth Proportional to 285,062.78, 393,428.36 and 164,180.54

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Solution

The fourth proportional to 285,062.78, 393,428.36 and 164,180.54 is: 226,593.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,062.78 : 393,428.36 = 164,180.54 : x
  2. Step 2: Convert to fraction form
    285,062.78/393,428.36 = 164,180.54/x
  3. Step 3: Cross multiply
    285,062.78x = 393,428.36 × 164,180.54
  4. Step 4: Simplify right side
    285,062.78x = 64,593,279,039.42
  5. Step 5: Solve for x
    x = 64,593,279,039.42/285,062.78
  6. Step 6: Final answer
    x = 226,593.17

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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.