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Finding the Fourth Proportional to 367,190.38, 506,721.36 and 206,045.07

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Solution

The fourth proportional to 367,190.38, 506,721.36 and 206,045.07 is: 284,341.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,190.38 : 506,721.36 = 206,045.07 : x
  2. Step 2: Convert to fraction form
    367,190.38/506,721.36 = 206,045.07/x
  3. Step 3: Cross multiply
    367,190.38x = 506,721.36 × 206,045.07
  4. Step 4: Simplify right side
    367,190.38x = 104,407,438,091.70
  5. Step 5: Solve for x
    x = 104,407,438,091.70/367,190.38
  6. Step 6: Final answer
    x = 284,341.43

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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.