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Finding the Fourth Proportional to 310,871.28, 466,306.92 and 205,665.69

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Solution

The fourth proportional to 310,871.28, 466,306.92 and 205,665.69 is: 308,498.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,871.28 : 466,306.92 = 205,665.69 : x
  2. Step 2: Convert to fraction form
    310,871.28/466,306.92 = 205,665.69/x
  3. Step 3: Cross multiply
    310,871.28x = 466,306.92 × 205,665.69
  4. Step 4: Simplify right side
    310,871.28x = 95,903,334,453.57
  5. Step 5: Solve for x
    x = 95,903,334,453.57/310,871.28
  6. Step 6: Final answer
    x = 308,498.54

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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.