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Finding the Fourth Proportional to 268,586.80, 402,880.20 and 201,664.60

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Solution

The fourth proportional to 268,586.80, 402,880.20 and 201,664.60 is: 302,496.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,586.80 : 402,880.20 = 201,664.60 : x
  2. Step 2: Convert to fraction form
    268,586.80/402,880.20 = 201,664.60/x
  3. Step 3: Cross multiply
    268,586.80x = 402,880.20 × 201,664.60
  4. Step 4: Simplify right side
    268,586.80x = 81,246,674,380.92
  5. Step 5: Solve for x
    x = 81,246,674,380.92/268,586.80
  6. Step 6: Final answer
    x = 302,496.90

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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.