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Finding the Fourth Proportional to 342,448.09, 472,471.23 and 206,523.61

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Solution

The fourth proportional to 342,448.09, 472,471.23 and 206,523.61 is: 284,937.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,448.09 : 472,471.23 = 206,523.61 : x
  2. Step 2: Convert to fraction form
    342,448.09/472,471.23 = 206,523.61/x
  3. Step 3: Cross multiply
    342,448.09x = 472,471.23 × 206,523.61
  4. Step 4: Simplify right side
    342,448.09x = 97,576,464,040.74
  5. Step 5: Solve for x
    x = 97,576,464,040.74/342,448.09
  6. Step 6: Final answer
    x = 284,937.97

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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.