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Finding the Fourth Proportional to 356,292.72, 491,693.49 and 201,231.57

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Solution

The fourth proportional to 356,292.72, 491,693.49 and 201,231.57 is: 277,704.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,292.72 : 491,693.49 = 201,231.57 : x
  2. Step 2: Convert to fraction form
    356,292.72/491,693.49 = 201,231.57/x
  3. Step 3: Cross multiply
    356,292.72x = 491,693.49 × 201,231.57
  4. Step 4: Simplify right side
    356,292.72x = 98,944,252,951.48
  5. Step 5: Solve for x
    x = 98,944,252,951.48/356,292.72
  6. Step 6: Final answer
    x = 277,704.95

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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.