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Finding the Fourth Proportional to 409,093.37, 612,803.49 and 333,461.44

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Solution

The fourth proportional to 409,093.37, 612,803.49 and 333,461.44 is: 499,510.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,093.37 : 612,803.49 = 333,461.44 : x
  2. Step 2: Convert to fraction form
    409,093.37/612,803.49 = 333,461.44/x
  3. Step 3: Cross multiply
    409,093.37x = 612,803.49 × 333,461.44
  4. Step 4: Simplify right side
    409,093.37x = 204,346,334,212.43
  5. Step 5: Solve for x
    x = 204,346,334,212.43/409,093.37
  6. Step 6: Final answer
    x = 499,510.26

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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.