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Finding the Fourth Proportional to 310,797.56, 466,196.34 and 205,591.93

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Solution

The fourth proportional to 310,797.56, 466,196.34 and 205,591.93 is: 308,387.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,797.56 : 466,196.34 = 205,591.93 : x
  2. Step 2: Convert to fraction form
    310,797.56/466,196.34 = 205,591.93/x
  3. Step 3: Cross multiply
    310,797.56x = 466,196.34 × 205,591.93
  4. Step 4: Simplify right side
    310,797.56x = 95,846,205,299.54
  5. Step 5: Solve for x
    x = 95,846,205,299.54/310,797.56
  6. Step 6: Final answer
    x = 308,387.90

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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.