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Finding the Fourth Proportional to 304,861.50, 420,031.38 and 201,311.79

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Solution

The fourth proportional to 304,861.50, 420,031.38 and 201,311.79 is: 277,362.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,861.50 : 420,031.38 = 201,311.79 : x
  2. Step 2: Convert to fraction form
    304,861.50/420,031.38 = 201,311.79/x
  3. Step 3: Cross multiply
    304,861.50x = 420,031.38 × 201,311.79
  4. Step 4: Simplify right side
    304,861.50x = 84,557,268,963.97
  5. Step 5: Solve for x
    x = 84,557,268,963.97/304,861.50
  6. Step 6: Final answer
    x = 277,362.90

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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.