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Finding the Fourth Proportional to 310,844.28, 466,266.42 and 205,638.65

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Solution

The fourth proportional to 310,844.28, 466,266.42 and 205,638.65 is: 308,457.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,844.28 : 466,266.42 = 205,638.65 : x
  2. Step 2: Convert to fraction form
    310,844.28/466,266.42 = 205,638.65/x
  3. Step 3: Cross multiply
    310,844.28x = 466,266.42 × 205,638.65
  4. Step 4: Simplify right side
    310,844.28x = 95,882,394,817.80
  5. Step 5: Solve for x
    x = 95,882,394,817.80/310,844.28
  6. Step 6: Final answer
    x = 308,457.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.