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Finding the Fourth Proportional to 367,145.36, 506,660 and 206,015.38

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Solution

The fourth proportional to 367,145.36, 506,660 and 206,015.38 is: 284,300.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,145.36 : 506,660 = 206,015.38 : x
  2. Step 2: Convert to fraction form
    367,145.36/506,660 = 206,015.38/x
  3. Step 3: Cross multiply
    367,145.36x = 506,660 × 206,015.38
  4. Step 4: Simplify right side
    367,145.36x = 104,379,752,430.80
  5. Step 5: Solve for x
    x = 104,379,752,430.80/367,145.36
  6. Step 6: Final answer
    x = 284,300.89

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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.