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Finding the Fourth Proportional to 409,286.40, 613,929.60 and 128,767.20

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Solution

The fourth proportional to 409,286.40, 613,929.60 and 128,767.20 is: 193,150.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,286.40 : 613,929.60 = 128,767.20 : x
  2. Step 2: Convert to fraction form
    409,286.40/613,929.60 = 128,767.20/x
  3. Step 3: Cross multiply
    409,286.40x = 613,929.60 × 128,767.20
  4. Step 4: Simplify right side
    409,286.40x = 79,053,995,589.12
  5. Step 5: Solve for x
    x = 79,053,995,589.12/409,286.40
  6. Step 6: Final answer
    x = 193,150.80

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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.