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Finding the Fourth Proportional to 409,270.20, 613,905.30 and 188,086.20

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Solution

The fourth proportional to 409,270.20, 613,905.30 and 188,086.20 is: 282,129.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,270.20 : 613,905.30 = 188,086.20 : x
  2. Step 2: Convert to fraction form
    409,270.20/613,905.30 = 188,086.20/x
  3. Step 3: Cross multiply
    409,270.20x = 613,905.30 × 188,086.20
  4. Step 4: Simplify right side
    409,270.20x = 115,467,115,036.86
  5. Step 5: Solve for x
    x = 115,467,115,036.86/409,270.20
  6. Step 6: Final answer
    x = 282,129.30

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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.