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Finding the Fourth Proportional to 232,728.80, 349,093.20 and 209,109.20

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Solution

The fourth proportional to 232,728.80, 349,093.20 and 209,109.20 is: 313,663.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,728.80 : 349,093.20 = 209,109.20 : x
  2. Step 2: Convert to fraction form
    232,728.80/349,093.20 = 209,109.20/x
  3. Step 3: Cross multiply
    232,728.80x = 349,093.20 × 209,109.20
  4. Step 4: Simplify right side
    232,728.80x = 72,998,599,777.44
  5. Step 5: Solve for x
    x = 72,998,599,777.44/232,728.80
  6. Step 6: Final answer
    x = 313,663.80

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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.