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Finding the Fourth Proportional to 310,334.80, 465,502.20 and 204,046.60

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Solution

The fourth proportional to 310,334.80, 465,502.20 and 204,046.60 is: 306,069.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,334.80 : 465,502.20 = 204,046.60 : x
  2. Step 2: Convert to fraction form
    310,334.80/465,502.20 = 204,046.60/x
  3. Step 3: Cross multiply
    310,334.80x = 465,502.20 × 204,046.60
  4. Step 4: Simplify right side
    310,334.80x = 94,984,141,202.52
  5. Step 5: Solve for x
    x = 94,984,141,202.52/310,334.80
  6. Step 6: Final answer
    x = 306,069.90

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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.