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Finding the Fourth Proportional to 284,896.59, 393,169.19 and 164,034.87

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Solution

The fourth proportional to 284,896.59, 393,169.19 and 164,034.87 is: 226,374.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,896.59 : 393,169.19 = 164,034.87 : x
  2. Step 2: Convert to fraction form
    284,896.59/393,169.19 = 164,034.87/x
  3. Step 3: Cross multiply
    284,896.59x = 393,169.19 × 164,034.87
  4. Step 4: Simplify right side
    284,896.59x = 64,493,456,149.48
  5. Step 5: Solve for x
    x = 64,493,456,149.48/284,896.59
  6. Step 6: Final answer
    x = 226,374.97

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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.