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Finding the Fourth Proportional to 268,998.60, 402,623.10 and 209,512.20

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Solution

The fourth proportional to 268,998.60, 402,623.10 and 209,512.20 is: 313,586.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,998.60 : 402,623.10 = 209,512.20 : x
  2. Step 2: Convert to fraction form
    268,998.60/402,623.10 = 209,512.20/x
  3. Step 3: Cross multiply
    268,998.60x = 402,623.10 × 209,512.20
  4. Step 4: Simplify right side
    268,998.60x = 84,354,451,451.82
  5. Step 5: Solve for x
    x = 84,354,451,451.82/268,998.60
  6. Step 6: Final answer
    x = 313,586.95

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1.5x scale

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.