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Finding the Fourth Proportional to 291,693.74, 402,383.67 and 200,892.38

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Solution

The fourth proportional to 291,693.74, 402,383.67 and 200,892.38 is: 277,125.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,693.74 : 402,383.67 = 200,892.38 : x
  2. Step 2: Convert to fraction form
    291,693.74/402,383.67 = 200,892.38/x
  3. Step 3: Cross multiply
    291,693.74x = 402,383.67 × 200,892.38
  4. Step 4: Simplify right side
    291,693.74x = 80,835,813,139.43
  5. Step 5: Solve for x
    x = 80,835,813,139.43/291,693.74
  6. Step 6: Final answer
    x = 277,125.64

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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.