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Finding the Fourth Proportional to 310,664.80, 466,342.80 and 192,469.60

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Solution

The fourth proportional to 310,664.80, 466,342.80 and 192,469.60 is: 288,918.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,664.80 : 466,342.80 = 192,469.60 : x
  2. Step 2: Convert to fraction form
    310,664.80/466,342.80 = 192,469.60/x
  3. Step 3: Cross multiply
    310,664.80x = 466,342.80 × 192,469.60
  4. Step 4: Simplify right side
    310,664.80x = 89,756,812,178.88
  5. Step 5: Solve for x
    x = 89,756,812,178.88/310,664.80
  6. Step 6: Final answer
    x = 288,918.51

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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.