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Finding the Fourth Proportional to 371,057.10, 512,059.79 and 201,291.23

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Solution

The fourth proportional to 371,057.10, 512,059.79 and 201,291.23 is: 277,782.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,057.10 : 512,059.79 = 201,291.23 : x
  2. Step 2: Convert to fraction form
    371,057.10/512,059.79 = 201,291.23/x
  3. Step 3: Cross multiply
    371,057.10x = 512,059.79 × 201,291.23
  4. Step 4: Simplify right side
    371,057.10x = 103,073,143,016.49
  5. Step 5: Solve for x
    x = 103,073,143,016.49/371,057.10
  6. Step 6: Final answer
    x = 277,782.43

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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.