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Finding the Fourth Proportional to 409,661.60, 613,455.60 and 326,717.60

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Solution

The fourth proportional to 409,661.60, 613,455.60 and 326,717.60 is: 489,249.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,661.60 : 613,455.60 = 326,717.60 : x
  2. Step 2: Convert to fraction form
    409,661.60/613,455.60 = 326,717.60/x
  3. Step 3: Cross multiply
    409,661.60x = 613,455.60 × 326,717.60
  4. Step 4: Simplify right side
    409,661.60x = 200,426,741,338.56
  5. Step 5: Solve for x
    x = 200,426,741,338.56/409,661.60
  6. Step 6: Final answer
    x = 489,249.52

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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.